@Article{,
author="",
title="Bulletin of the Iranian Mathematical Society",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="-",
abstract="",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_832.html"
}
@Article{Guo2016,
author="Guo, G.
and Pan, J. Q.",
title="The geometric properties of a degenerate parabolic equation with periodic source term",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="799-808",
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).",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_833.html"
}
@Article{Lashani2016,
author="Lashani, E.
and Soleyman Jahan, A.",
title="Constructing vertex decomposable graphs",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="809-817",
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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_834.html"
}
@Article{Ahookhosh2016,
author="Ahookhosh, M.
and Amini, K.
and Kimiaei, M.
and Peyghami, M. R.",
title="A limited memory adaptive trust-region approach for large-scale unconstrained optimization",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="819-837",
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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_835.html"
}
@Article{Nakova2016,
author="Nakova, G.",
title="Totally umbilical radical transversal lightlike hypersurfaces of Kähler-Norden manifolds of constant totally real sectional curvatures",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="839-854",
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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_836.html"
}
@Article{Zou2016,
author="Zou, L.
and Jiang, Y.",
title="A note on inequalities for Tsallis relative operator entropy",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="855-859",
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, {\em 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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_837.html"
}
@Article{Momtahan2016,
author="Momtahan, E.
and Baziar, M.
and Safaeeyan, S.",
title="A module theoretic approach to zero-divisor graph with respect to (first) dual",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="861-872",
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 $yf(x)=0$. Weobserve that over a commutative ring $R$, $gf$ is connected anddiam$(gf)leq 3$. 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 $f$ ismonomorphism (the converse is true if $R$ is a domain). If $M$ iseither a free module with ${rm rank}(M)geq 2$ or anon-finitely generated projective module there exists $fin M^*$with ${rm rad}(gf)=1$ and ${rm diam}(gf)leq 2$. We prove thatfor a domain $R$ the chromatic number and the clique number of $gf$ are equal.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_838.html"
}
@Article{Bell2016,
author="Bell, H. E.
and Daif, M. N.",
title="Center--like subsets in rings with derivations or epimorphisms",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="873-878",
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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_839.html"
}
@Article{Zhu2016,
author="Zhu, D.
and Zhang, L.
and Li, D.",
title="The Ramsey numbers of large trees versus wheels",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="879-880",
abstract="For two given graphs G1 and G2, the Ramseynumber R(G1,G2) is the smallest integer n such that for anygraph G of order n, either $G$ contains G1 or the complementof G contains G2. Let Tn denote a tree of order n andWm a wheel of order m+1. To the best of our knowledge, only R(Tn,Wm) with small wheels are known.In this paper, we show that R(Tn,Wm)=3n-2 for odd m with n>756m^{10}.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_840.html"
}
@Article{Zireh2016,
author="Zireh, A.
and Analouei Audegani, E.",
title="Coefficient estimates for a subclass of analytic and bi-univalent functions",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="881-889",
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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_841.html"
}
@Article{Zhang2016,
author="Zhang, C.
and Li, Z.",
title="Relative (co)homology of $F$-Gorenstein modules",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="891-902",
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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_842.html"
}
@Article{Hashemi2016,
author="Hashemi, M. S.",
title="On Black-Scholes equation; method of Heir-equations, nonlinear self-adjointness and conservation laws",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="903-921",
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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_843.html"
}
@Article{Hadjirezaei2016,
author="Hadjirezaei, S.
and Karimzadeh, S.",
title="On the order of a module",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="923-931",
abstract="Abstract. Let (R,P) be a Noetherian unique factorization do-main (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, denotedord_R(M), be the largest integer n such that I(M) ⊆ P^n. In thispaper, we show that if M is a module of order one, then either Mis isomorphic with direct sum of a free module and a cyclic moduleor M is isomorphic with a special module represented in the text.We also assert some properties of M while ord_R(M) = 2.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_844.html"
}
@Article{Nunokawa2016,
author="Nunokawa, M. N.
and Sokol, J.
and Cho, N. E.",
title="Sufficient conditions for univalence and starlikeness",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="933-939",
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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_845.html"
}
@Article{Ansari-Toroghy2016,
author="Ansari-Toroghy, H.
and Ovlyaee-Sarmazdeh, R.
and Pourmortazavi, Seyed Sajad",
title="On two problems concerning the Zariski topology of modules",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="941-948",
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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_846.html"
}
@Article{Amanzadeh2016,
author="Amanzadeh, E.
and Dibaei, M. T.",
title="Complexes of $C$-projective modules",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="949-958",
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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_847.html"
}
@Article{Bahyrycz2016,
author="Bahyrycz, A.",
title="Hyperstability of some functional equation on restricted domain: direct and fixed point methods",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="959-974",
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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_848.html"
}
@Article{Bilalov2016,
author="Bilalov, B. T.
and Nazarova, T. Y.",
title="On statistical type convergence in uniform spaces",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="975-986",
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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_849.html"
}
@Article{Kim2016,
author="Kim, H. S.
and Allen, P. J.
and Neggers, J.",
title="Polynomial evaluation groupoids and their groups",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="987-997",
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 beobtained as a polynomial evaluation groupoid.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_850.html"
}
@Article{Alagöz2016,
author="Alagöz, Y.
and Durğun, Y.",
title="Strongly noncosingular modules",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="999-1013",
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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_851.html"
}
@Article{Deng2016,
author="Deng, L.",
title="On certain semigroups of transformations that preserve double direction equivalence",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="1015-1024",
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 discussthe Green's *-relations, certain *-ideal and certain Rees quotient semigroup for TE(X).",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_852.html"
}
@Article{,
author="",
title="From the Editor-in-Chief",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="4",
pages="1025-1026",
abstract="",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_853.html"
}