@article {doi:,
author = {},
title = {Bulletin of the Iranian Mathematical Society},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {-},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {},
keywords = {},
URL = {
http://bims.iranjournals.ir/article_832.html
},
eprint = {
http://bims.iranjournals.ir/article__4119b663aedfbafd2eacfcbf800710fb832.pdf
}
}
@article {doi:,
author = {G. Guo,J. Q. Pan},
title = {The geometric properties of a degenerate parabolic equation with periodic source term},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {799-808},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {In this paper, we discuss the geometric properties of solution and lower bound estimate of ∆um−1 of the Cauchy problem for a degenerate parabolic equation with periodic source term ut =∆um+ upsint. Our objective is to show that: (1)with continuous variation of time t, the surface ϕ = [u(x,t)]mδq is a complete Riemannian manifold floating in space RN+1and is tangent to the space RN at ∂H0(t); (2)the surface u = u(x,t) is tangent to the hyperplane W(t) at ∂Hu(t).},
keywords = {Degenerate parabolic equation,~Riemannian manifold,~Periodic source term},
URL = {
http://bims.iranjournals.ir/article_833.html
},
eprint = {
http://bims.iranjournals.ir/article__3a19f3cfd152e71e5060b6ee86fda34e833.pdf
}
}
@article {doi:,
author = {E. Lashani,A. Soleyman Jahan},
title = {Constructing vertex decomposable graphs},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {809-817},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Recently, some techniques such as adding whiskers and attaching graphs to vertices of a given graph, have been proposed for constructing a new vertex decomposable graph. In this paper, we present a new method for constructing vertex decomposable graphs. Then we use this construction to generalize the result due to Cook and Nagel.},
keywords = {Finite graph,well-covered graph,independence complex,edge ideal,vertex decomposable graph},
URL = {
http://bims.iranjournals.ir/article_834.html
},
eprint = {
http://bims.iranjournals.ir/article__0e4d232717c9878e672368f90111370c834.pdf
}
}
@article {doi:,
author = {M. Ahookhosh,K. Amini,M. Kimiaei,M. R. Peyghami},
title = {A limited memory adaptive trust-region approach for large-scale unconstrained optimization},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {819-837},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {This study concerns with a trust-region-based method for solving unconstrained optimization problems. The approach takes the advantages of the compact limited memory BFGS updating formula together with an appropriate adaptive radius strategy. In our approach, the adaptive technique leads us to decrease the number of subproblems solving, while utilizing the structure of limited memory quasi-Newton formulas helps to handle large-scale problems. Theoretical analysis indicates that the new approach preserves the global convergence to a first-order stationary point under classical assumptions. Moreover, the superlinear and the quadratic convergence rates are also established under suitable conditions. Preliminary numerical experiments show the effectiveness of the proposed approach for solving large-scale unconstrained optimization problems.},
keywords = {Unconstrained optimization,trust-region framework,compact quasi-Newton representation,limited memory technique,adaptive strategy},
URL = {
http://bims.iranjournals.ir/article_835.html
},
eprint = {
http://bims.iranjournals.ir/article__05d125fc7788d3d72bb2e454b7c9ae39835.pdf
}
}
@article {doi:,
author = {G. Nakova},
title = {Totally umbilical radical transversal lightlike hypersurfaces of Kähler-Norden manifolds of constant totally real sectional curvatures},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {839-854},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {In this paper we study curvature properties of semi - symmetric type of totally umbilical radical transversal lightlike hypersurfaces $(M,g)$ and $(M,\widetilde g)$ of a K\"ahler-Norden manifold $(\overline M,\overline J,\overline g,\overline { \widetilde g})$ of constant totally real sectional curvatures $\overline \nu$ and $\overline {\widetilde \nu}$ ($g$ and $\widetilde g$ are the induced metrics on $M$ by the Norden metrics $\overline g$ and $\overline {\widetilde g}$, respectively). We obtain a condition for $\overline {\widetilde \nu}$ (resp. $\overline \nu$) which is equivalent to eachof the following conditions: $(M,g)$ $(resp.\, (M,\widetilde g))$ is locally symmetric, semi-symmetric, Ricci semi-symmetric and almost Einstein. We construct an example of a totally umbilical radical transversal lightlike hypersurface, which is locally symmetric, semi-symmetric, Ricci semi-symmetric and almost Einstein.},
keywords = {Kähler-Norden manifold,totally real sectional curvature,radical transversal lightlike hypersurface,totally umbilical lightlike hypersurface},
URL = {
http://bims.iranjournals.ir/article_836.html
},
eprint = {
http://bims.iranjournals.ir/article__492ff15de80235a366b9a8fbf01ab827836.pdf
}
}
@article {doi:,
author = {L. Zou,Y. Jiang},
title = {A note on inequalities for Tsallis relative operator entropy},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {855-859},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {In this short note, we present some inequalities for relative operator entropy which are generalizations of some results obtained by Zou [Operator inequalities associated with Tsallis relative operator entropy, Math. Inequal. Appl. 18 (2015), no. 2, 401--406]. Meanwhile, we also show some new lower and upper bounds for relative operator entropy and Tsallis relative operator entropy.},
keywords = {Relative operator entropy,Tsallis relative operator entropy,operator inequalities},
URL = {
http://bims.iranjournals.ir/article_837.html
},
eprint = {
http://bims.iranjournals.ir/article__df4210a6e2cdcbb39f8414109f5622bf837.pdf
}
}
@article {doi:,
author = {E. Momtahan,M. Baziar,S. Safaeeyan},
title = {A module theoretic approach to zero-divisor graph with respect to (first) dual},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {861-872},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Let $M$ be an $R$-module and $0 \neq fin M^*={\rm Hom}(M,R)$. We associate an undirected graph $gf$ to $M$ in which non-zero elements $x$ and $y$ of $M$ are adjacent provided that $xf(y)=0$ or $yf(x)=0$. We observe that over a commutative ring $R$, $gf$ is connected and diam$(gf)\leq 3$. Moreover, if $\Gamma (M)$ contains a cycle, then $\mbox{gr}(gf)\leq 4$. Furthermore if $|gf|geq 1$, then $gf$ is finite if and only if $M$ is finite. Also if $gf=emptyset$, then $f$ is monomorphism (the converse is true if $R$ is a domain). If $M$ is either a free module with ${\rm rank}(M)\geq 2$ or a non-finitely generated projective module there exists $fin M^*$ with ${\rm rad}(gf)=1$ and ${\rm diam}(gf)\leq 2$. We prove that for a domain $R$ the chromatic number and the clique number of $gf$ are equal.},
keywords = {Zero-divisor graph,Clique number,Chromatic number,Module},
URL = {
http://bims.iranjournals.ir/article_838.html
},
eprint = {
http://bims.iranjournals.ir/article__871ce9b57fe08bf9203f8e500d1cd9ef838.pdf
}
}
@article {doi:,
author = {H. E. Bell,M. N. Daif},
title = {Center--like subsets in rings with derivations or epimorphisms},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {873-878},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {We introduce center-like subsets Z*(R,f), Z**(R,f) and Z1(R,f), where R is a ring and f is a map from R to R. For f a derivation or a non-identity epimorphism and R a suitably-chosen prime or semiprime ring, we prove that these sets coincide with the center of R.},
keywords = {Prime ring,semiprime ring,derivation,epimorphism,center-like subset},
URL = {
http://bims.iranjournals.ir/article_839.html
},
eprint = {
http://bims.iranjournals.ir/article__3782dc4a21cf87ae977f69355ec9216b839.pdf
}
}
@article {doi:,
author = {D. Zhu,L. Zhang,D. Li},
title = {The Ramsey numbers of large trees versus wheels},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {879-880},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {For two given graphs $G_1$ and $G_2$, the Ramsey number $R(G_1,G_2)$ is the smallest integer n such that for any graph G of order n, either $G$ contains G1 or the complement of G contains $G_2$. Let Tn denote a tree of order n and Wm a wheel of order m+1. To the best of our knowledge, only $R(T_n,W_m)$ with small wheels are known. In this paper, we show that $R(T_n,W_m)=3n-2$ for odd m with $n>756m^{10}$.},
keywords = {Ramsey number,tree,wheel},
URL = {
http://bims.iranjournals.ir/article_840.html
},
eprint = {
http://bims.iranjournals.ir/article__30a26766892a2873e795eb8000b43f23840.pdf
}
}
@article {doi:,
author = {A. Zireh,E. Analouei Audegani},
title = {Coefficient estimates for a subclass of analytic and bi-univalent functions},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {881-889},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk. Upper bounds for the second and third coefficients of functions in this subclass are founded. Our results, which are presented in this paper, generalize and improve those in related works of several earlier authors.},
keywords = {Analytic functions,Bi-Univalent Functions,Coefficient estimates,starlike functions,Koebe one-quarter theorem},
URL = {
http://bims.iranjournals.ir/article_841.html
},
eprint = {
http://bims.iranjournals.ir/article__1f6a850b3488d0952e36fdcc558e5e53841.pdf
}
}
@article {doi:,
author = {C. Zhang,Z. Li},
title = {Relative (co)homology of $F$-Gorenstein modules},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {891-902},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {We investigate the relative cohomology and relative homology theories of $F$-Gorenstein modules, consider the relations between classical and $F$-Gorenstein (co)homology theories.},
keywords = {$F$-Gorenstein projective module,$F$-Gorenstein injective module,relative cohomology,relative homology},
URL = {
http://bims.iranjournals.ir/article_842.html
},
eprint = {
http://bims.iranjournals.ir/article__da59dead14e2b930104ab3b6393aba8e842.pdf
}
}
@article {doi:,
author = {M. S. Hashemi},
title = {On Black-Scholes equation; method of Heir-equations, nonlinear self-adjointness and conservation laws},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {903-921},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {In this paper, Heir-equations method is applied to investigate nonclassical symmetries and new solutions of the Black-Scholes equation. Nonlinear self-adjointness is proved and infinite number of conservation laws are computed by a new conservation laws theorem.},
keywords = {Black-Scholes equation,Heir-equation,nonclassical symmetry,Nonlinear self-adjointness,Conservation law},
URL = {
http://bims.iranjournals.ir/article_843.html
},
eprint = {
http://bims.iranjournals.ir/article__9440a70bdefec0826847378e3637ce93843.pdf
}
}
@article {doi:,
author = {S. Hadjirezaei,S. Karimzadeh},
title = {On the order of a module},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {923-931},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Abstract. Let $(R,P)$ be a Noetherian unique factorization domain (UFD) and M be a finitely generated R-module. Let I(M)be the first nonzero Fitting ideal of M and the order of M, denoted $ord_R(M)$, be the largest integer n such that $I(M) ⊆ P^n$. In this paper, we show that if M is a module of order one, then either M is isomorphic with direct sum of a free module and a cyclic module or M is isomorphic with a special module represented in the text. We also assert some properties of M while $ord_R(M) = 2.$},
keywords = {Fitting ideals,minimal free presentation,order of a module},
URL = {
http://bims.iranjournals.ir/article_844.html
},
eprint = {
http://bims.iranjournals.ir/article__8c5b86ca03124119d8397dde84a956c0844.pdf
}
}
@article {doi:,
author = {M. N. Nunokawa,J. Sokol,N. E. Cho},
title = {Sufficient conditions for univalence and starlikeness},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {933-939},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {It is known that the condition $mathfrak {Re} left{zf'(z)/f(z)right}>0$, $|z|<1$ is a sufficient condition for $f$, $f(0)=f'(0)-1$ to be starlike in $|z|<1$. The purpose of this work is to present some new sufficient conditions for univalence and starlikeness.},
keywords = {Analytic functions,convex functions,starlike functions,univalent functions},
URL = {
http://bims.iranjournals.ir/article_845.html
},
eprint = {
http://bims.iranjournals.ir/article__7d14220cd3142ab48ef16685f5904494845.pdf
}
}
@article {doi:,
author = {H. Ansari-Toroghy,R. Ovlyaee-Sarmazdeh,Seyed Sajad Pourmortazavi},
title = {On two problems concerning the Zariski topology of modules},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {941-948},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Let $R$ be an associative ring and let $M$ be a left $R$-module. Let $Spec_{R}(M)$ be the collection of all prime submodules of $M$ (equipped with classical Zariski topology). There is a conjecture which says that every irreducible closed subset of $Spec_{R}(M)$ has a generic point. In this article we give an affirmative answer to this conjecture and show that if $M$ has a Noetherian spectrum, then $Spec_{R}(M)$ is a spectral space.},
keywords = {Prime spectrum,classical Zariski topology,spectral space},
URL = {
http://bims.iranjournals.ir/article_846.html
},
eprint = {
http://bims.iranjournals.ir/article__1769c60f5d1f171166300f224d7e2683846.pdf
}
}
@article {doi:,
author = {E. Amanzadeh,M. T. Dibaei},
title = {Complexes of $C$-projective modules},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {949-958},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Inspired by a recent work of Buchweitz and Flenner, we show that, for a semidualizing bimodule $C$, $C$--perfect complexes have the ability to detect when a ring is strongly regular. It is shown that there exists a class of modules which admit minimal resolutions of $C$--projective modules.},
keywords = {Semidualizing,$C$--projective,$mathcal P_C$--resolution,$C$--perfect complex,strongly regular},
URL = {
http://bims.iranjournals.ir/article_847.html
},
eprint = {
http://bims.iranjournals.ir/article__8072eb9287f684dfb94b1ec60af8979a847.pdf
}
}
@article {doi:,
author = {A. Bahyrycz},
title = {Hyperstability of some functional equation on restricted domain: direct and fixed point methods},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {959-974},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {The study of stability problems of functional equations was motivated by a question of S.M. Ulam asked in 1940. The first result giving answer to this question is due to D.H. Hyers. Subsequently, his result was extended and generalized in several ways.We prove some hyperstability results for the equation g(ax+by)+g(cx+dy)=Ag(x)+Bg(y)on restricted domain. Namely, we show, under some weak natural assumptions, that functions satisfying the above equation approximately (in some sense) must be actually solutions to it.},
keywords = {Hyperstability,linear equation,quadratic equation,p-Wright affine function,fixed point theorem},
URL = {
http://bims.iranjournals.ir/article_848.html
},
eprint = {
http://bims.iranjournals.ir/article__f70737eade2a159a95d98ee8c93435c2848.pdf
}
}
@article {doi:,
author = {B. T. Bilalov,T. Y. Nazarova},
title = {On statistical type convergence in uniform spaces},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {975-986},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {The concept of ${\mathscr{F}}_{st}$-fundamentality is introduced in uniform spaces, generated by some filter ${\mathscr{F}}$. Its equivalence to the concept of ${\mathscr{F}}$-convergence in uniform spaces is proved. This convergence generalizes many kinds of convergence, including the well-known statistical convergence.},
keywords = {${\mathscr{F}}$-convergence,${\mathscr{F}}_{st}$- fundamentality,statistical convergence,a uniform space},
URL = {
http://bims.iranjournals.ir/article_849.html
},
eprint = {
http://bims.iranjournals.ir/article__7288695c066460ba0ef6f0e26ae1a84a849.pdf
}
}
@article {doi:,
author = {H. S. Kim,P. J. Allen,J. Neggers},
title = {Polynomial evaluation groupoids and their groups},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {987-997},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {In this paper, we show how certain metabelian groups can be found within polynomial evaluation groupoids. We show that every finite abelian group can be obtained as a polynomial evaluation groupoid.},
keywords = {polynomial evaluation groupoids,group evaluation polynomial,group},
URL = {
http://bims.iranjournals.ir/article_850.html
},
eprint = {
http://bims.iranjournals.ir/article__1eb6e61f83e959712c8e2809e47d56a9850.pdf
}
}
@article {doi:,
author = {Y. Alagöz,Y. Durğun},
title = {Strongly noncosingular modules},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {999-1013},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {An R-module M is called strongly noncosingular if it has no nonzero Rad-small (cosingular) homomorphic image in the sense of Harada. It is proven that (1) an R-module M is strongly noncosingular if and only if M is coatomic and noncosingular; (2) a right perfect ring R is Artinian hereditary serial if and only if the class of injective modules coincides with the class of (strongly) noncosingular R-modules; (3)absolutely coneat modules are strongly noncosingular if and only if R is a right Max-ring and injective modules are strongly noncosingular; (4) a commutative ring R is semisimple if and only if the class of injective modules coincides with the class of strongly noncosingular R-modules.},
keywords = {coclosed submodules,(non) cosingular modules,coatomic modules},
URL = {
http://bims.iranjournals.ir/article_851.html
},
eprint = {
http://bims.iranjournals.ir/article__d18ecbcc8e8e4b588b255c42f726eb89851.pdf
}
}
@article {doi:,
author = {L. Deng},
title = {On certain semigroups of transformations that preserve double direction equivalence},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {1015-1024},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Let TX be the full transformation semigroups on the set X. For an equivalence E on X, let TE*(X) = {α ∈ TX : ∀(x, y) ∈ E ⇔ (xα, yα) ∈ E} It is known that TE*(X) is a subsemigroup of TX. In this paper, we discuss the Green's *-relations, certain *-ideal and certain Rees quotient semigroup for TE*(X).},
keywords = {Transformation semigroups,Equivalence,Green's *-relations,*-Ideal,Rees quotient semigroup},
URL = {
http://bims.iranjournals.ir/article_852.html
},
eprint = {
http://bims.iranjournals.ir/article__a64e6817281df6609cd01af3d32c5d45852.pdf
}
}
@article {doi:,
author = {},
title = {From the Editor-in-Chief},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {1025-1026},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {},
keywords = {},
URL = {
http://bims.iranjournals.ir/article_853.html
},
eprint = {
http://bims.iranjournals.ir/article__22686d0fab58cdee00a66c458eb8e1cd853.pdf
}
}