@article { author = {}, title = {Bulletin of the Iranian Mathematical Society}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {-}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {}, keywords = {}, url = {http://bims.iranjournals.ir/article_533.html}, eprint = {http://bims.iranjournals.ir/article_533_31f05be9e90172b8c3ed455449600263.pdf} } @article { author = {‎Zhu, Z.}, title = {$n$-cocoherent rings‎, ‎$n$-cosemihereditary rings and $n$-V-rings}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {809-822}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = { Let $R$ be a ring‎, ‎and let $n‎, ‎d$ be non-negative integers‎. ‎A right $R$-module $M$ is called $(n‎, ‎d)$-projective if $Ext^{d+1}_R(M‎, ‎A)=0$ for every $n$-copresented right $R$-module $A$‎. ‎$R$ is called right $n$-cocoherent if every $n$-copresented right $R$-module is $(n+1)$-coprese-nted‎, ‎it is called a right co-$(n,d)$-ring if every right $R$-module is $(n‎, ‎d)$-projective‎. ‎$R$ is called right‎ ‎$n$-cosemihereditary if every submodule of a projective right $R$-module is‎ ‎$(n‎, ‎0)$-projective‎, ‎it is called a right‎ ‎$n$-V-ring if it is a right co-$(n,0)$-ring‎. ‎Some properties of $(n‎, ‎d)$-projective modules and $(n‎, ‎d)$-projective dimensions of modules over $n$-cocoherent rings are studied‎. ‎Certain characterizations of $n$-copresented modules‎, ‎$(n‎, ‎0)$-projective modules‎, ‎right $n$-cocoherent rings‎, ‎right $n$-cosemihereditary rings‎, ‎as well as right $n$-V-rings are given respectively‎.}, keywords = {$(n,d)$-projective module,$n$-cocoherent ring,co-$(n,d)$-ring,$n$-cosemihereditary ring,$n$-V-ring‎}, url = {http://bims.iranjournals.ir/article_534.html}, eprint = {http://bims.iranjournals.ir/article_534_6e88012f7bf840453d8d81689ea550fc.pdf} } @article { author = {‎Bagherboum, M. and Razani, A.}, title = {A modified Mann iterative scheme for a sequence of‎ ‎nonexpansive mappings and a monotone mapping with applications}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {823-849}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎In a real Hilbert space‎, ‎an iterative scheme is considered to‎ ‎obtain strong convergence which is an essential tool to find a‎ ‎common fixed point for a countable family of nonexpansive mappings‎ ‎and the solution of a variational inequality problem governed by a‎ ‎monotone mapping‎. ‎In this paper‎, ‎we give a procedure which results‎ ‎in developing Shehu's result to solve equilibrium problem‎. ‎Then‎, ‎we state more applications of this procedure‎. ‎Finally‎, ‎we‎ ‎investigate some numerical examples which hold in our main‎ ‎results‎.}, keywords = {Equilibrium problem‎,‎maximal monotone‎ ‎operator‎,‎strictly pseudocontractive mapping‎,‎$W$-mapping‎}, url = {http://bims.iranjournals.ir/article_535.html}, eprint = {http://bims.iranjournals.ir/article_535_48d8b48dcbd7dc8de86f2c490d9874e8.pdf} } @article { author = {Hosseini, S. A. and Shahmorad, S. and Tari, A.}, title = {Existence of an $L^p$-solution for two dimensional integral equations of the Hammerstein type}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {851-862}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {In this paper‎, ‎existence of an $L^p$-solution for 2DIEs (Two‎ ‎Dimensional Integral Equations) of the Hammerstein type is‎ ‎discussed‎. ‎The main tools in this discussion are Schaefer's and‎ ‎Schauder's fixed point theorems with a general version of‎ ‎Gronwall's inequality‎.}, keywords = {Two dimensional integral equations‎,‎Schaefer's‎ ‎and Schauder's fixed point theorems‎,‎Gronwall's inequality‎,‎Superposition operator‎}, url = {http://bims.iranjournals.ir/article_536.html}, eprint = {http://bims.iranjournals.ir/article_536_2f3ef6af63c98ea3d44ccb63275c001b.pdf} } @article { author = {Babaei, E. and Zamani, Y.}, title = {Symmetry classes of polynomials associated with the dihedral group}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {863-874}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎In this paper‎, ‎we obtain the dimensions of symmetry classes of polynomials associated with‎ ‎the irreducible characters of the dihedral group as a subgroup of‎ ‎the full symmetric group‎. ‎Then we discuss the existence of o-basis‎ ‎of these classes‎.}, keywords = {Relative symmetric polynomials‎,‎irreducible characters‎,‎dihedral group‎,‎linear Diophantine equations‎,‎$p$-adic valuation‎}, url = {http://bims.iranjournals.ir/article_537.html}, eprint = {http://bims.iranjournals.ir/article_537_2a82872fe659dd26c6d5d9e44b4bfb29.pdf} } @article { author = {Yadav, M. R.}, title = {Convergence results‎: ‎A new type iteration scheme for two asymptotically nonexpansive mappings in uniformly convex Banach spaces}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {875-889}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎In this article‎, ‎we introduce a new type iterative scheme for‎ ‎approximating common fixed points of two asymptotically‎ ‎nonexpansive mappings is defined‎, ‎and weak and strong convergence‎ ‎theorem are proved for the new iterative scheme in a uniformly‎ ‎convex Banach space‎. ‎The results obtained in this article‎ ‎represent an extension as well as refinement of previous known‎ ‎results‎.}, keywords = {Two-step iteration process‎,‎Asymptotically nonexpansive‎,‎Opial's condition‎,‎Weak and strong convergence‎,‎Common fixed point‎}, url = {http://bims.iranjournals.ir/article_538.html}, eprint = {http://bims.iranjournals.ir/article_538_63b10c08a071de52225dc6d630992cef.pdf} } @article { author = {Cho, S. Y. and Qin, X. and Wang, L.}, title = {A strong convergence theorem for solutions of zero point problems and fixed point problems}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {891-910}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {Zero point problems of the sum of two monotone mappings and fixed point problems of a strictly pseudocontractive mapping are investigated‎. ‎A strong convergence theorem for the common solutions of the problems is established in the framework of Hilbert spaces‎.}, keywords = {Fixed point‎,‎inverse-strongly monotone mapping‎,‎maximal monotone operator‎,‎nonexpansive‎ ‎mapping‎}, url = {http://bims.iranjournals.ir/article_539.html}, eprint = {http://bims.iranjournals.ir/article_539_23cd892bd2081092d0be4a1b2f1a4125.pdf} } @article { author = {Hussain, S. and Arif, M. and Nawaz Malik, S‎. ‎}, title = {Higher order close-to-convex functions associated with Attiya-Srivastava operator}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {911-920}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {In this paper‎, ‎we introduce a new class$T_{k}^{s,a}[A,B,\alpha‎ ,‎\beta ]$ of analytic functions by using a‎ ‎newly defined convolution operator‎. ‎This class contains many known classes of‎ ‎analytic and univalent functions as special cases‎. ‎We derived some‎ ‎interesting results including inclusion relationships‎, ‎a radius problem and‎ ‎sharp coefficient bound for this class‎.}, keywords = {Close-to-convex functions‎,‎bounded boundary rotation‎,‎Attiya-Srivastava operator‎}, url = {http://bims.iranjournals.ir/article_540.html}, eprint = {http://bims.iranjournals.ir/article_540_816202a2ed253c9673f8148c1b13bd36.pdf} } @article { author = {Bidabad, B. and Yarahmadi, M.}, title = {On quasi-Einstein Finsler spaces‎}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {921-930}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎The notion of quasi-Einstein metric in physics is equivalent to the notion of Ricci soliton in Riemannian spaces‎. ‎Quasi-Einstein metrics serve also as solution to the Ricci flow equation‎. ‎Here‎, ‎the Riemannian metric is replaced by a Hessian matrix derived from a Finsler structure and a quasi-Einstein Finsler metric is defined‎. ‎In compact case‎, ‎it is proved that the quasi-Einstein metrics are solutions to the Finslerian Ricci flow and conversely‎, ‎certain form of solutions to the Finslerian Ricci flow are quasi-Einstein Finsler metrics‎.}, keywords = {Finsler space,quasi-Einstein,Ricci flow,Ricci soliton‎}, url = {http://bims.iranjournals.ir/article_541.html}, eprint = {http://bims.iranjournals.ir/article_541_7472f19f2810a7f4552d433681a7d1d3.pdf} } @article { author = {Tolooei, Y. and Vedadi, M. R.}, title = {Reversibility of a module with respect to the bifunctors Hom and‎ ‎Rej}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {931-940}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {Let $M_R$ be a non-zero‎ ‎module and ${\mathcal F}‎: ‎\sigma[M_R]\times \sigma[M_R]‎ ‎\rightarrow$ Mod-$\Bbb{Z}$ a bifunctor‎. ‎The‎ ‎$\mathcal{F}$-reversibility of $M$ is defined by ${\mathcal‎ ‎F}(X,Y)=0 \Rightarrow {\mathcal F}(Y,X)=0$ for all non-zero $X,Y$‎ ‎in $\sigma[M_R]$‎. ‎Hom (resp‎. ‎Rej)-reversibility of $M$ is‎ ‎characterized in different ways‎. ‎Among other things‎, ‎it is shown‎ ‎that $R_R$ {\rm($_RR$)} is Hom-reversible if and only if $R =‎ ‎\bigoplus_{i=1}^n R_i$ such that each $R_i$ is a perfect ring with‎ ‎a unique simple module (up to isomorphism)‎. ‎In particular‎, ‎for a‎ ‎duo ring‎, ‎the concepts of perfectness and Hom-reversibility‎ ‎coincide‎.}, keywords = {Co-retractable‎,‎Kasch module‎,‎perfect ring‎,‎prime module‎,‎cogenerator‎}, url = {http://bims.iranjournals.ir/article_542.html}, eprint = {http://bims.iranjournals.ir/article_542_aa4318fb32317b7ebcdad5b47acfa0d1.pdf} } @article { author = {Jahandoust, S. and Naghipour, R.}, title = {Quintasymptotic sequences over an ideal and quintasymptotic cograde}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {941-959}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎Let $I$ denote an ideal of a Noetherian ring $R$‎. ‎The purpose of‎ ‎this article is to introduce the concepts of quintasymptotic‎ ‎sequences over $I$ and quintasymptotic cograde of $I$‎, ‎and to show that they play a role analogous to quintessential sequences‎ ‎over $I$ and quintessential cograde of $I$‎. ‎We show that‎, ‎if $R$ is‎ ‎local‎, ‎then the quintasymptotic cograde of $I$ is unambiguously‎ ‎defined and behaves well when passing to certain related local‎ ‎rings‎. ‎Also‎, ‎we use this cograde to characterize two classes‎ ‎of local rings‎.}, keywords = {Quintasymptotic prime‎,‎quintasymptotic sequence‎,‎quasi-unmixed ring}, url = {http://bims.iranjournals.ir/article_543.html}, eprint = {http://bims.iranjournals.ir/article_543_ddf8b69842a1acade52b2e460b55187e.pdf} } @article { author = {Amiri, M. and Ariannejad, M.}, title = {Frobenius kernel and Wedderburn's little theorem}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {961-965}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {We give a new proof of the well known Wedderburn's little theorem (1905) that a finite‎ ‎division ring is commutative‎. ‎We apply the concept of Frobenius kernel in Frobenius representation theorem in finite group‎ ‎theory to build a proof‎.}, keywords = {Division ring‎,‎maximal subfield‎,‎Frobenius representation theorem‎}, url = {http://bims.iranjournals.ir/article_544.html}, eprint = {http://bims.iranjournals.ir/article_544_2c7e68d9736c0920eb61c0208eed24eb.pdf} } @article { author = {Zireh, A.}, title = {On the polar derivative of a polynomial}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {967-976}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {For a polynomial p(z) of degree n, having all zeros in |z|< k, k< 1, Dewan et al [K. K. Dewan, N. Singh and A. Mir, Extension of some polynomial inequalities to the polar derivative, J. Math. Anal. Appl. 352 (2009) 807-815] obtained inequality between the polar derivative of p(z) and maximum modulus of p(z). In this paper we improve and extend the above inequality. Our result generalizes certain well-known polynomial inequalities.}, keywords = {Polar derivative‎,‎polynomial‎ ‎inequalities‎,‎maximum modulus‎,‎restricted zeros of polynomials‎}, url = {http://bims.iranjournals.ir/article_545.html}, eprint = {http://bims.iranjournals.ir/article_545_25cacb1cfc89664cf306d62474aa18c5.pdf} } @article { author = {Lashkarizadeh Bami, M. and Soori, E.}, title = {Strong convergence of a general implicit algorithm for variational inequality problems and equilibrium problems and a continuous representation of nonexpansive mappings}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {977-1001}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {We introduce a general implicit algorithm for finding a common element of‎ ‎the set of solutions of systems of equilibrium problems and the set of common fixed points‎ ‎of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings‎. ‎Then we prove the strong convergence of the proposed implicit scheme to the unique solution of the minimization problem on the solution of systems of equilibrium‎ ‎problems and the common fixed points of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings‎.}, keywords = {Continuous representation‎,‎invariant mean‎,‎equilibrium problem‎,‎nonexpansive mapping‎,‎classical variational inequality‎}, url = {http://bims.iranjournals.ir/article_546.html}, eprint = {http://bims.iranjournals.ir/article_546_1820e2c60c3fa9a0249788aca8bd564b.pdf} } @article { author = {Cuntavepanit, A.}, title = {Strong convergence of modified noor iteration in CAT(0) spaces}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {1003-1016}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {We prove a strong convergence theorem for the modified Noor iterations‎ ‎in the framework of CAT(0) spaces‎. ‎Our results extend and improve the corresponding results of‎ ‎X‎. ‎Qin‎, ‎Y‎. ‎Su and M‎. ‎Shang‎, ‎T‎. ‎H‎. ‎Kim and H‎. ‎K‎. ‎Xu and S‎. ‎Saejung‎ ‎and some others‎.}, keywords = {Modified noor iteration‎,‎CAT(0) spaces‎,‎nonexpansive mapping‎,‎strong convergence‎}, url = {http://bims.iranjournals.ir/article_547.html}, eprint = {http://bims.iranjournals.ir/article_547_d7115467992c70e2c9679773b3bed8b8.pdf} } @article { author = {Akbulak, M. and Öteleș, A.}, title = {On the sum of Pell and Jacobsthal numbers by matrix method}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {1017-1025}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {In this paper‎, ‎we define two $n$-square upper Hessenberg matrices one of which corresponds to the adjacency matrix of a directed pseudo graph‎. ‎We investigate relations between permanents and determinants of these upper Hessenberg matrices‎, ‎and sum formulas of the well-known Pell and Jacobsthal sequences‎. ‎Finally‎, ‎we present two Maple 13 procedures in order to calculate permanents of these upper Hessenberg matrices‎.}, keywords = {Permanent‎,‎Pell sequence‎,‎Hessenberg matrix‎}, url = {http://bims.iranjournals.ir/article_548.html}, eprint = {http://bims.iranjournals.ir/article_548_427451a378e7b360196f24cc5049fb08.pdf} } @article { author = {L i, S. and Zhang, J.}, title = {Lexicographical ordering by spectral moments of trees with a given bipartition}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {1027-1045}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = { Lexicographic ordering by spectral moments ($S$-order) among all trees is discussed in this‎ ‎paper‎. ‎For two given positive integers $p$ and $q$ with $p\leqslant q$‎, ‎we denote $\mathscr{T}_n^{p‎, ‎q}=\{T‎: ‎T$ is a tree of order $n$ with a $(p‎, ‎q)$-bipartition\}‎. Furthermore, ‎the last four trees‎, ‎in the $S$-order‎, ‎among $\mathscr{T}_n^{p‎, ‎q}\,(4\leqslant p\leqslant q)$ are characterized‎.}, keywords = {Spectral moment,$S$-order‎, ‎tree‎, ‎bipartition‎}, url = {http://bims.iranjournals.ir/article_549.html}, eprint = {http://bims.iranjournals.ir/article_549_35141bc2aab0229a44065c872ea2a41b.pdf} } @article { author = {Avazzadeh, S. H. and Kamyabi Gol, R. A. and Raisi Tousi, R.}, title = {Continuous frames and g-frames}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {4}, pages = {1047-1055}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {In this note‎, ‎we aim to show that several known generalizations of frames are equivalent to the continuous frame‎ ‎defined by Ali et al‎. ‎in 1993‎. ‎Indeed‎, ‎it is shown that these generalizations can be considered as an operator between two Hilbert spaces‎.}, keywords = {G-frame‎,‎continuous frame‎,‎Sun's g-frame‎}, url = {http://bims.iranjournals.ir/article_550.html}, eprint = {http://bims.iranjournals.ir/article_550_a9b4d08783a83fc5fff14349bb6bf7bc.pdf} }