@article { author = {}, title = {Bulletin of the Iranian Mathematical Society}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {-}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {}, keywords = {}, url = {http://bims.iranjournals.ir/article_1131.html}, eprint = {http://bims.iranjournals.ir/article_1131_67225b7753fc77e8ce2dbd54c753e207.pdf} } @article { author = {O, H.-C. and Jo, J.-J. and Kim, S.-Y. and Jon, S.-G.}, title = {A comprehensive unified model of structural and reduced form type for defaultable fixed income bonds}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {575-599}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎The aim of this paper is to generalize the comprehensive structural model for defaultable fixed income bonds (considered in R‎. ‎Agliardi‎, ‎A comprehensive structural model for defaultable fixed-income bondsو Quant‎. ‎Finance 11 (2011)‎, ‎no‎. ‎5‎, ‎749--762.) into a comprehensive unified model of structural and reduced form models‎. ‎In our model the bond holders receive the deterministic coupon at predetermined coupon dates and the face value (debt) and the coupon at the maturity as well as the effect of government taxes which are paid on the proceeds of an investment in bonds is considered‎. ‎The expected default event occurs when the equity value is not enough to pay coupon or debt at the coupon dates or maturity and an unexpected default event can occur at any time interval with the probability of given default intensity‎. ‎We consider the model and pricing formula for equity value and using it calculate expected default barrier‎. ‎Then we provide pricing model and formula for defaultable corporate bonds with discrete coupons‎, ‎and consider the duration and the effect of the government taxes‎.}, keywords = {Defaultable corporate bond,discrete coupon,tax,default intensity,default barrier}, url = {http://bims.iranjournals.ir/article_1109.html}, eprint = {http://bims.iranjournals.ir/article_1109_0db0b4521c266154ab5646b7363dcf39.pdf} } @article { author = {Briki, M‎. ‎ and Djebali, S. and Moussaoui, T.}, title = {Solvability of an impulsive boundary value problem on the half-line via critical point theory}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {601-615}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {In this paper, an impulsive boundary value problem on the half-line is considered and existence of solutions is proved using Minimization Principal and Mountain Pass Theorem.}, keywords = {Impulsive BVPs,unbounded interval,critical point,minimization principal,mountain-pass theorem}, url = {http://bims.iranjournals.ir/article_951.html}, eprint = {http://bims.iranjournals.ir/article_951_3f4b6ba65f5bea2d1d1ee70c0679b355.pdf} } @article { author = {Moradlou, F. and Alizadeh, S.}, title = {Weak convergence theorems for symmetric generalized hybrid mappings in uniformly convex Banach spaces}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {617-627}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎In this paper‎, ‎we prove some theorems related to properties of‎ ‎generalized symmetric hybrid mappings in Banach spaces‎. ‎Using Banach‎ ‎limits‎, ‎we prove a fixed point theorem for symmetric generalized‎ ‎hybrid mappings in Banach spaces‎. ‎Moreover‎, ‎we prove some weak‎ ‎convergence theorems for such mappings by using Ishikawa iteration‎ ‎method in a uniformly convex Banach space.}, keywords = {Fixed point‎,‎hybrid method‎,‎Opial's condition‎,‎uniformly‎ ‎convex Banach space‎,‎weak convergence‎}, url = {http://bims.iranjournals.ir/article_952.html}, eprint = {http://bims.iranjournals.ir/article_952_cc093e273a76ab5a2ac62180f5bf2eb6.pdf} } @article { author = {Thin, N.V.}, title = {Uniqueness of meromorphic functions ans Q-differential polynomials sharing small functions}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {629-647}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎The paper concerns interesting problems related to the field of Complex Analysis‎, ‎in particular, Nevanlinna theory of meromorphic‎ ‎functions‎. ‎We have studied certain uniqueness problem on differential polynomials of meromorphic functions sharing a‎ ‎small function‎. ‎Outside‎, ‎in this paper‎, ‎we also consider the uniqueness of $q-$ shift difference‎ - ‎differential polynomials‎ ‎of meromorphic functions sharing small function or a set in the complex plane.}, keywords = {Uniqueness theorem,q-shift differential polynomials,value distribution,meromorphic function}, url = {http://bims.iranjournals.ir/article_953.html}, eprint = {http://bims.iranjournals.ir/article_953_629162e9ca21b08d9bf8cb82e7b9d9ea.pdf} } @article { author = {Yoon, D.W.}, title = {Coordinate finite type invariant surfaces in Sol spaces}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {649-658}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {In the present paper, we study surfaces invariant under the 1-parameter subgroup in Sol space $\rm Sol_3$. Also, we characterize the surfaces in $\rm Sol_3$ whose coordinate functions of an immersion of the surface are eigenfunctions of the Laplacian $\Delta$ of the surface.}, keywords = {Sol space,finite type surface,invariant surface}, url = {http://bims.iranjournals.ir/article_954.html}, eprint = {http://bims.iranjournals.ir/article_954_672eb342b587b6c02c016091e7593cad.pdf} } @article { author = {Zhang, C.}, title = {On non-normal non-abelian subgroups of finite groups}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {659-663}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎In this paper we prove that a finite group $G$ having at most three‎ ‎conjugacy classes of non-normal non-abelian proper subgroups is‎ ‎always solvable except for $G\cong{\rm{A_5}}$‎, ‎which extends Theorem 3.3‎ ‎in [Some sufficient conditions on the number of‎ ‎non-abelian subgroups of a finite group to be solvable‎, ‎Acta Math‎. ‎Sinica (English Series) 27 (2011) 891--896.]‎. ‎Moreover‎, ‎we show that a‎ ‎finite group $G$ with at most three same order classes of non-normal‎ ‎non-abelian proper subgroups is always solvable except for $G\cong‎{A_5}$‎.}, keywords = {Non-abelian subgroup‎,‎non-normal‎,‎conjugacy class‎,‎same order class‎}, url = {http://bims.iranjournals.ir/article_955.html}, eprint = {http://bims.iranjournals.ir/article_955_337a7def7f393b8d74b7c0e4c79047e1.pdf} } @article { author = {Ahmadi Zeidabadi, F. and Hoseini, S.M.}, title = {Solitons for nearly integrable bright spinor Bose-Einstein condensate}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {665-681}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎Using the explicit forms of eigenstates for linearized operator related to a matrix version of Nonlinear Schrödinger equation‎, ‎soliton perturbation theory is developed for the $F=1$ bright spinor Bose-Einstein condensates‎. ‎A small disturbance of the integrability condition can be considered as a small correction to the integrable equation‎. ‎By choosing appropriate perturbation‎, ‎the soliton solution for small deviation from the integrability condition is found‎. ‎Numerical simulations exhibit good agreement with analytical results.}, keywords = {Bose-Einstein condensate‎,‎Integrable $2times 2$ matrix‎,‎nonlinear Schrödinger equation‎,‎soliton perturbation theory‎,‎discrete and continuous eigenfunctions‎}, url = {http://bims.iranjournals.ir/article_956.html}, eprint = {http://bims.iranjournals.ir/article_956_e5d47cf69627abce678d9f542ff5b1f6.pdf} } @article { author = {Wetere Tulu, T. and Boping, T.}, title = {Mathematical modeling, analysis and simulation of Ebola epidemics}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {683-693}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎Mathematical models are the most important tools in epidemiology to understand previous outbreaks of diseases and to better understand the dynamics of how infections spread through populations‎. ‎Many existing models closely approximate historical disease patterns‎. ‎This article investigates the mathematical model of the deadly disease with severe and uncontrollable bleeding‎, ‎Ebola which is currently becoming the headache of the whole world though effort to control is undergoing‎. ‎In this paper a new mathematical model of the Ebola epidemic is built‎. ‎Besides‎, ‎the basic reproduction number is calculated and the stability of both disease free and endemic equilibrium is proved‎. ‎Finally‎, ‎numerical simulations are executed to further consolidate the analysis of the deadly disease Ebola.}, keywords = {Basic reproduction number‎,‎global stability‎,‎equilibrium‎,‎epidemic model}, url = {http://bims.iranjournals.ir/article_957.html}, eprint = {http://bims.iranjournals.ir/article_957_813ca39b1e7c5ffd53b4eddc4652ed6a.pdf} } @article { author = {Nasehi, M.}, title = {On 5-dimensional 2-step homogeneous randers nilmanifolds of Douglas type}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {695-706}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎In this paper we first obtain the non-Riemannian Randers metrics of Douglas type on two-step homogeneous nilmanifolds of dimension five‎. ‎Then we explicitly give the flag curvature formulae and the $S$-curvature formulae for the Randers metrics of Douglas type on these spaces‎. ‎Moreover‎, ‎we prove that the only simply connected five-dimensional two-step homogeneous Randers nilmanifolds of Douglas type which are Ricci-quadratic have a three-dimensional centre‎. ‎We also prove that all simply connected five-dimensional two-step homogeneous Randers nilmanifolds of Douglas type are never weakly symmetric‎. ‎The existence of homogeneous Randers spaces of Douglas type with vanishing $S$-curvature which are never g.o‎. ‎Finsler spaces is also proved and some examples of locally projectively flat Finsler spaces are also obtained.}, keywords = {Two-step homogeneous nilmanifolds‎,‎Randers metrics of Douglas type‎,‎g.o‎. ‎Finsler spaces‎,‎weakly symmetric spaces‎}, url = {http://bims.iranjournals.ir/article_958.html}, eprint = {http://bims.iranjournals.ir/article_958_d46cf0cb3a9474148048d3c9a1b8fe85.pdf} } @article { author = {Sun, S. and Zhao, Y. and Zhao, P. and Han, Z.}, title = {Theory of hybrid differential equations on time scales}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {707-725}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎In this paper‎, ‎we develop the theory of hybrid differential‎ ‎equations on time scales‎. ‎An existence theorem for hybrid‎ ‎differential equations on time scales is given under Lipschitz ‎conditions‎. ‎Some fundamental fractional differential inequalities‎ ‎are also established which are utilized to prove the existence of‎ ‎extremal solutions‎. ‎Necessary tools are considered and the‎ ‎comparison principle is proved which will be useful for further‎ ‎study of qualitative behavior of solutions‎. ‎Our results in this ‎paper extend and improve some known results.}, keywords = {Differential inequalities‎,‎existence theorem‎,‎comparison principle‎,‎time scales‎}, url = {http://bims.iranjournals.ir/article_959.html}, eprint = {http://bims.iranjournals.ir/article_959_3495a2c9d4cf4c659753aca717c9729b.pdf} } @article { author = {Ersoy, S. and İnce, İ. and Bilgin, M.}, title = {Strongly k-spaces}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {727-734}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎In this paper‎, ‎we introduce the notion of strongly $k-$spaces (with the weak (=finest) pre-topology generated by their strongly compact subsets)‎. ‎We characterize the strongly $k-$spaces and investigate the relationships between preclosedness‎, ‎locally strongly compactness‎, ‎pre-first countableness and being strongly $k-$space.}, keywords = {Strongly compact sets‎,‎preopen sets‎,‎$k-$spaces‎}, url = {http://bims.iranjournals.ir/article_960.html}, eprint = {http://bims.iranjournals.ir/article_960_fddf1523fdfc77a3cfe52c9a3c6ce4d6.pdf} } @article { author = {Mo, X.H. and Zhu, H.M.}, title = {On a class of locally projectively flat Finsler metrics}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {735-746}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎In this paper we study Finsler metrics with orthogonal invariance‎. ‎We‎ ‎find a partial differential equation equivalent to these metrics being locally projectively flat‎. ‎Some applications are given‎. ‎In particular‎, ‎we give an explicit construction of a new locally projectively flat Finsler metric of vanishing flag curvature which differs from the Finsler metric given by Berwald in 1929.}, keywords = {Finsler metric‎,‎locally projectively flat‎,‎flag curvature‎,‎orthogonally invariant‎}, url = {http://bims.iranjournals.ir/article_961.html}, eprint = {http://bims.iranjournals.ir/article_961_b53c921cf2d21caa37f214470b8f3e56.pdf} } @article { author = {Aydın, Y. and Pancar, A.}, title = {Frattini supplements and Frat- series}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {747-753}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎In this study‎, ‎Frattini supplement subgroup and Frattini supplemented group‎ ‎are defined by Frattini subgroup‎. ‎By these definitions‎, ‎it's shown that‎ ‎finite abelian groups are Frattini supplemented and every conjugate of a‎ ‎Frattini supplement of a subgroup is also a Frattini supplement‎. ‎A group action‎ ‎of a group is defined over the set of Frattini supplements of a normal‎ ‎subgroup of the group by conjugation and in this study new characterization‎ ‎of primitivity of groups has obtained in terms of Frattini supplemented‎ ‎groups by this action‎. ‎Moreover, Frat-series of a group is defined based on‎ ‎Frattini supplements of normal subgroups of the group and it is shown that‎ ‎subgroups and factor groups of groups with Frat-series also have Frat-series‎ ‎under some special conditions‎. ‎Furthermore‎, ‎we determined a characterization of soluble groups which have Frat-series.}, keywords = {Frattini subgroup‎,‎primitive group‎,‎group actions‎}, url = {http://bims.iranjournals.ir/article_962.html}, eprint = {http://bims.iranjournals.ir/article_962_408ef6dcf6b085e43a37f5b92e2f4595.pdf} } @article { author = {Jafarian Amiri, S.M. and Rostami, H.}, title = {Finite groups all of whose proper centralizers are cyclic}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {755-762}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎A finite group $G$ is called a $CC$-group ($G\in CC$) if the centralizer of each noncentral element of $G$ is cyclic‎. ‎In this article we determine all finite $CC$-groups.}, keywords = {Finite group‎,‎$CA$-group‎,‎$CC$-group‎,‎centralizer‎}, url = {http://bims.iranjournals.ir/article_963.html}, eprint = {http://bims.iranjournals.ir/article_963_39f77437f2f3e5d47eabce3d4736d817.pdf} } @article { author = {Mojahedi Moakhar, M.S.}, title = {The concentration function problem for $G$-spaces}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {763-769}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎In this note‎, ‎we consider the concentration function problem for a continuous action of a locally compact group $G$ on a locally compact Hausdorff space $X$‎. ‎We prove a necessary and sufficient condition for the concentration functions of a‎ ‎spread-out irreducible probability measure $\mu$ on $G$ to converge to zero.}, keywords = {Concentration function‎,‎irreducible‎,‎spread-out‎,‎stationary measure‎}, url = {http://bims.iranjournals.ir/article_964.html}, eprint = {http://bims.iranjournals.ir/article_964_1896a9ee98295b306dd85cddf8f84de2.pdf} } @article { author = {Öztürk, G. and Büyükkütük, S. and Kişi, İ.}, title = {A characterization of curves in Galilean 4-space $G_4$}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {771-780}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎In the present study‎, ‎we consider a regular curve in Galilean‎ ‎$4$-space $\mathbb{G}_{4}$ whose position vector is written as a‎ ‎linear combination of its Frenet vectors‎. ‎We characterize such‎ ‎curves in terms of their curvature functions‎. ‎Further‎, ‎we obtain‎ ‎some results of rectifying‎, ‎constant ratio‎, ‎$T$-constant and‎ ‎$N$-constant curves in $\mathbb{G}_{4}$‎.}, keywords = {Frenet frame,constant-ratio curves,rectifying curves}, url = {http://bims.iranjournals.ir/article_965.html}, eprint = {http://bims.iranjournals.ir/article_965_86d3476c41f085716f438f92ec30c419.pdf} } @article { author = {Zaare-Nahandi, R. and Jafarpour-Golzari, R.}, title = {Unmixed $r$-partite graphs}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {781-787}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎Unmixed bipartite graphs have been characterized by Ravindra and‎ ‎Villarreal independently‎. ‎Our aim in this paper is to‎ ‎characterize unmixed $r$-partite graphs under a certain condition‎, ‎which is a generalization of Villarreal's theorem on bipartite‎ ‎graphs‎. ‎Also, we give some examples and counterexamples in relevance to this subject‎.}, keywords = {$r$-partite graph,well-covered,unmixed,perfect matching,clique}, url = {http://bims.iranjournals.ir/article_966.html}, eprint = {http://bims.iranjournals.ir/article_966_bec072d93e37ac6373af70963acf6ac6.pdf} } @article { author = {Hamidi, M.R. and Nyamoradi, N.}, title = {On boundary value problem for fractional differential equations}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {789-805}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {In this paper‎, ‎we study the existence of solutions for a‎ ‎ fractional boundary value problem‎. ‎By using critical point theory‎ ‎ and variational methods‎, ‎we give some new criteria to guarantee‎ ‎ that‎ ‎ the problems have at least one solution and infinitely many solutions.}, keywords = {Fractional differential equations‎,‎solutions‎,variational methods‎,‎Morse theory‎,‎fountain Theorem‎}, url = {http://bims.iranjournals.ir/article_967.html}, eprint = {http://bims.iranjournals.ir/article_967_d381663683864b185eb06d06ebb29f7e.pdf} } @article { author = {Jahani-Nezhad, R. and Khoshayand, F.}, title = {Almost valuation rings}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {807-816}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {The aim of this paper is to generalize the‎ ‎notion of almost valuation domains to arbitrary commutative‎ ‎rings‎. ‎Also‎, ‎we consider relations between almost valuation rings ‎and pseudo-almost valuation rings‎. ‎We prove that the class of‎ ‎almost valuation rings is properly contained in the class of‎ ‎pseudo-almost valuation rings‎. ‎Among the properties of almost‎ ‎valuation rings‎, ‎we show that a quasilocal ring $R$ with regular‎ ‎maximal ideal $M$ is a pseudo-almost valuation ring if and only‎ ‎if $V = (M‎ : ‎M)$ is an almost valuation ring with maximal ideal‎ ‎${\rm Rad}_V(M)$‎. ‎Furthermore‎, ‎we show that pseudo-almost valuation‎‎rings are precisely the pullbacks of almost valuation rings‎.}, keywords = {Strongly prime ideal,Almost valuation domain,Pseudo-almost valuation ring}, url = {http://bims.iranjournals.ir/article_970.html}, eprint = {http://bims.iranjournals.ir/article_970_fa53dd75a192135fa5fdfae32180d7f6.pdf} } @article { author = {Ranjbar, S.}, title = {W-convergence of the proximal point algorithm in complete CAT(0) metric spaces}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {817-834}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎In this paper‎, ‎we generalize the proximal point algorithm to complete CAT(0) spaces and show‎ ‎that the sequence generated by the proximal point algorithm‎ $w$-converges to a zero of the maximal‎ ‎monotone operator‎. ‎Also‎, ‎we prove that if $f‎: ‎X\rightarrow‎ ‎]-\infty‎, +‎\infty]$ is a proper‎, ‎convex and lower semicontinuous‎ ‎function on the complete CAT(0) space $X$‎, ‎then the proximal point algorithm $w$-converges to a zero of the subdifferential of $f$‎, ‎i.e., a minimizer of $f$‎. ‎Some strong convergence results (convergence in metric) are also presented with additional assumptions on the monotone operator and‎ ‎the convex function $f$.}, keywords = {Keywords: Hadamard space,maximal monotone operator,Proximal point algorithm,w-convergence,Subdifferential}, url = {http://bims.iranjournals.ir/article_971.html}, eprint = {http://bims.iranjournals.ir/article_971_82f5acff6dbe281bad8d1a4e7301a6f6.pdf} } @article { author = {R. Aliabad, A. and Bagheri, V. and Karavan Jahromi, M.}, title = {On quasi $P$-spaces and their applications in submaximal and nodec spaces}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {835-852}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎A topological space is called submaximal if each of its dense subsets is open and is called nodec if each of its nowhere dense ea subsets is closed‎. ‎Here‎, ‎we study a variety of spaces some of which have already been studied in $C(X)$‎. ‎Among them are‎, ‎most importantly‎, ‎quasi $P$-spaces and pointwise quasi $P$-spaces‎. ‎We obtain some new useful topological characterizations of quasi $P$-spaces and pointwise quasi $P$-spaces‎. ‎Consequently‎, ‎we obtain a close relation between these latter spaces and submaximal and nodec spaces‎.}, keywords = {Quasi P-space,Pointwise QP-space,Submaximal space,Nodec space,I-space}, url = {http://bims.iranjournals.ir/article_972.html}, eprint = {http://bims.iranjournals.ir/article_972_c47563ae70da99592883044ab83cfb5c.pdf} } @article { author = {Xu, W.-R. and Chen, G.-L.}, title = {Some results on the symmetric doubly stochastic inverse eigenvalue problem}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {853-865}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎The symmetric doubly stochastic inverse eigenvalue problem (hereafter SDIEP) is to determine the necessary and sufficient conditions for an $n$-tuple $\sigma=(1,\lambda_{2},\lambda_{3},\ldots,\lambda_{n})\in \mathbb{R}^{n}$ with $|\lambda_{i}|\leq 1,~i=1,2,\ldots,n$‎, ‎to be the spectrum of an $n\times n$ symmetric doubly stochastic matrix $A$‎. ‎If there exists an $n\times n$ symmetric doubly stochastic matrix $A$ with $\sigma$ as its spectrum‎, ‎then the list $\sigma$ is s.d.s‎. ‎realizable‎, ‎or such that $A$ s.d.s‎. ‎realizes $\sigma$‎. ‎In this paper‎, ‎we propose a new sufficient condition for the existence of the symmetric doubly stochastic matrices with prescribed spectrum‎. ‎Finally‎, ‎some results about how to construct new s.d.s‎. ‎realizable lists from the known lists are presented.}, keywords = {Inverse eigenvalue problem‎,‎symmetric doubly stochastic matrix‎,‎sufficient condition‎}, url = {http://bims.iranjournals.ir/article_973.html}, eprint = {http://bims.iranjournals.ir/article_973_5217f95bb88349cb243d3f654f570e95.pdf} } @article { author = {Shi, J. and Wu, Z. and Hou, R.}, title = {On the type of conjugacy classes and the set of indices of maximal subgroups}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {867-874}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎Let $G$ be a finite group‎. ‎By $MT(G)=(m_1,\cdots,m_k)$ we denote the type of‎ ‎conjugacy classes of maximal subgroups of $G$‎, ‎which implies that $G$ has exactly $k$ conjugacy classes of‎ ‎maximal subgroups and $m_1,\ldots,m_k$ are the numbers of conjugates‎ ‎of maximal subgroups of $G$‎, ‎where $m_1\leq\cdots\leq m_k$‎. ‎In this paper‎, ‎we‎ ‎give some new characterizations of finite groups by the type of‎ ‎conjugacy classes of maximal subgroups‎. ‎By $\pi_t(G)$ we denote‎ ‎the set of indices of all maximal subgroups of $G$‎. ‎We also investigate‎ ‎the influence of the set of indices of all maximal subgroups on the structure of‎ ‎finite groups‎.}, keywords = {Maximal subgroup,non-abelian simple group,the type of conjugacy classes,the set of indices}, url = {http://bims.iranjournals.ir/article_974.html}, eprint = {http://bims.iranjournals.ir/article_974_3b6f8402dda5e66b81d06f6e49045069.pdf} } @article { author = {Azimi, M. R. and Jabbarzadeh, M. R. and ‎Jafari Bakhshkandi, M.}, title = {On reducibility of weighted composition operators}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {875-883}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {In this paper, we study two types of the reducing subspaces for the weighted composition operator $W: f\rightarrow u\cdot f\circ \varphi$ on $L^2(\Sigma)$. A necessary and sufficient condition is given for $W$ to possess the reducing subspaces of the form $L^2(\Sigma_B)$ where $B\in \Sigma_{sigma(u)}$. Moreover, we pose some necessary and some sufficient conditions under which the subspaces of the form $L^2(\mathcal{A})$ reduce $W$. All of these are basically discussed by using the conditional expectation properties. To explain the results some examples are then presented.}, keywords = {Reducing subspace,weighted composition operators,conditional expectation}, url = {http://bims.iranjournals.ir/article_981.html}, eprint = {http://bims.iranjournals.ir/article_981_31b5913fd99bd8a7884acd03213dd58a.pdf} } @article { author = {Ahmadi Dastjerdi, D. and Dabbaghian Amiri, M.}, title = {Almost specification ‎and ‎renewality‎ in spacing shifts}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {885-896}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎Let $(\Sigma_P,\sigma_P)$ be the space of a spacing shifts where $P\subset \mathbb{N}_0=\mathbb{N}\cup\{0\}$ and $\Sigma_P=\{s\in\{0,1\}^{\mathbb{N}_0}: ‎s_i=s_j=1 \mbox{ if } |i-j|\in P \cup\{0\}\}$ and $\sigma_P$ the shift map‎. ‎We will show that $\Sigma_P$ is mixing if and only if it has almost specification property with at least two periodic points‎. ‎Moreover‎, ‎we show that if $h(\sigma_P)=0$‎, ‎then $\Sigma_P$ is almost specified and if $h(\sigma_P)>0$ and $\Sigma_P$ is almost specified‎, ‎then it is weak mixing‎. ‎Also‎, ‎some sufficient conditions for a coded $\Sigma_P$ being renewal or uniquely decipherable is given‎. ‎At last we will show that here are only two conjugacies from a transitive $\Sigma_P$ to a subshift of $\{0,1\}^{\mathbb{N}_0}$‎.}, keywords = {Spacing shifts‎,‎almost specification‎,‎renewal‎,‎uniquely decipherable}, url = {http://bims.iranjournals.ir/article_978.html}, eprint = {http://bims.iranjournals.ir/article_978_a06a483757e387013b6d5bbf696db11a.pdf} } @article { author = {Bai, R. and Gao, Y. and Zhang, Y. and Li, Z.}, title = {Double derivations of n-Lie algebras}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {897-910}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {After introducing double derivations of $n$-Lie algebra $L$ we‎ ‎describe the relationship between the algebra $\mathcal D(L)$ of double derivations and the usual‎ ‎derivation Lie algebra $\mathcal Der(L)$‎. ‎In particular‎, ‎we prove that the inner derivation algebra $ad(L)$‎ ‎is an ideal of the double derivation algebra $\mathcal D(L)$; we also show that if $L$ is a perfect $n$-Lie algebra‎ ‎with certain constraints on the base field then the centralizer of $ad(L)$ in $\mathcal D(L)$ is‎ ‎trivial and $\mathcal D(L)$ is centerless‎. ‎In addition‎, ‎we obtain that for every perfect $n$-Lie‎ ‎algebra $L$ with zero center‎, ‎the triple derivations of the derivation algebra $\mathcal Der(L)$ are exactly‎ ‎the derivations of $\mathcal Der(L)$‎, ‎and the triple derivations of the inner derivation algebra $ad(L)$ are‎ ‎precisely the derivations of $ad(L)$‎.}, keywords = {$n$-Lie algebra,double derivation,derivation,inner derivation}, url = {http://bims.iranjournals.ir/article_980.html}, eprint = {http://bims.iranjournals.ir/article_980_435becbcb5d7a8ea49d428daf9a529cf.pdf} } @article { author = {Talebi, Y. and Hosseinpour, M. and Moniri Hamzekolaee, A.R.}, title = {Modules for which every non-cosingular submodule is a summand}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {911-922}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎A module $M$ is lifting if and only if $M$ is amply supplemented and‎ ‎every coclosed submodule of $M$ is a direct summand‎. ‎In this paper‎, ‎we are‎ ‎interested in a generalization of lifting modules by removing the condition‎"‎amply supplemented‎" ‎and just focus on modules such that every non-cosingular‎ ‎submodule of them is a summand‎. ‎We call these modules NS‎. ‎We investigate some general properties of NS-modules‎. ‎Several‎ ‎examples are provided to separate different concepts‎. ‎It is shown that every non-cosingular‎ ‎NS-module is a direct sum of indecomposable modules‎. ‎We‎ ‎also discuss on finite direct sums of NS-modules.}, keywords = {Non-cosingular submodule‎,‎amply supplemented module‎,‎NS-module‎}, url = {http://bims.iranjournals.ir/article_983.html}, eprint = {http://bims.iranjournals.ir/article_983_bb395f9f3798907e63a6206e886b8c18.pdf} } @article { author = {Liu, B. and Li, F.}, title = {A note on blow-up in parabolic equations with local and localized sources}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {923-942}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎This note deals with the systems of parabolic equations with local and localized sources involving $n$ components‎. ‎We obtained the exponent regions‎, ‎where $k\in \{1,2,\cdots,n\}$ components may blow up simultaneously while the other $(n-k)$ ones still remain bounded under suitable initial data‎. ‎It is proved that different initial data can lead to different blow-up phenomena even in the same exponent regions‎, ‎and moreover‎, ‎different blow-up mechanism leads to different blow-up rates and blow-up sets.}, keywords = {Non-simultaneous blow-up‎,‎simultaneous blow-up‎,‎blow-up rate‎,‎blow-up set‎. ‎}, url = {http://bims.iranjournals.ir/article_984.html}, eprint = {http://bims.iranjournals.ir/article_984_3557e83881f711d9b5eb44a8204b265f.pdf} } @article { author = {Kondo, M.}, title = {Simple axiomatization of reticulations on residuated lattices}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {943-949}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎We give a simple and independent axiomatization of reticulations on residuated lattices‎, ‎which were axiomatized by five conditions in [C‎. ‎Mureşan‎, ‎The reticulation of a residuated lattice‎, ‎Bull‎. ‎Math‎. ‎Soc‎. ‎Sci‎. ‎Math‎. ‎Roumanie‎ ‎51 (2008)‎, ‎no‎. ‎1‎, ‎47--65]‎. ‎Moreover‎, ‎we show that reticulations can be considered as lattice homomorphisms between residuated lattices and bounded distributive lattices‎. ‎Consequently‎, ‎the result proved by Muresan in 2008‎, ‎for any two reticulattions $(L_1‎, ‎\lambda_1)‎, ‎(L_2‎, ‎\lambda_2)$ of a residuated lattice $X$ there exists an isomorphism $f‎: ‎L_1 \to L_2$ such that $f\circ \lambda_1 = \lambda_2$‎, ‎can be considered as a homomorphism theorem‎.}, keywords = {Reticulation‎,‎residuated lattice‎,‎principal filter‎}, url = {http://bims.iranjournals.ir/article_985.html}, eprint = {http://bims.iranjournals.ir/article_985_6b7c6fb69b7eff043f603bf53907c367.pdf} } @article { author = {Pakravesh, Y. and Iranmanesh, Ali}, title = {Normal edge-transitive Cayley graphs on the non-abelian groups of order $4p^2$, where $p$ is a prime number}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {3}, pages = {951-974}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {In this paper, we determine all of connected normal edge-transitive Cayley graphs on non-abelian groups with order $4p^2$, where $p$ is a prime number.}, keywords = {Cayley graph,normal edge-transitive,vertex-transitive,edge-transitive}, url = {http://bims.iranjournals.ir/article_1132.html}, eprint = {http://bims.iranjournals.ir/article_1132_3af29ec84b064a55e26c93df57b943e7.pdf} }