@Article{,
author="",
title="Bulletin of the Iranian Mathematical Society",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="-",
abstract="",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1254.html"
}
@Article{Molaei2017,
author="Molaei, M.R.
and Sayyari, Y.",
title="Caratheodory dimension for observers",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1559-1570",
abstract="In this essay we introduce and study the notion of dimension for observers via Caratheodory structures and relative probability measures. We show that the dimension as a three variables function is an increasing function on observers, and decreasing function on the cuts of an observer. We find observers with arbitrary non-negative dimensions. We show that Caratheodory dimension for observers is an invariant object under conjugate relations. Caratheodory dimension as a mapping, for multi-dimensional observers is considered. News spread is modeled via multi-dimensional observers.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1034.html"
}
@Article{De2017,
author="De, U.C.
and Deshmukh, S.
and Mandal, K.",
title="On three-dimensional $N(k)$-paracontact metric manifolds and Ricci solitons",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1571-1583",
abstract="The aim of this paper is to characterize $3$-dimensional $N(k)$-paracontact metric manifolds satisfying certain curvature conditions. We prove that a $3$-dimensional $N(k)$-paracontact metric manifold $M$ admits a Ricci soliton whose potential vector field is the Reeb vector field $xi$ if and only if the manifold is a paraSasaki-Einstein manifold. Several consequences of this result are discussed. Finally, an illustrative example is constructed.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1040.html"
}
@Article{Zhang2017,
author="Zhang, Y.
and Li, P.",
title="Decay estimates of solutions to the IBq equation",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1585-1600",
abstract="In this paper we focus on the Cauchy problem for the generalized IBq equation with damped term in $n$-dimensional space. We establish the global existence and decay estimates of solution with $L^q(1\leq q\leq 2)$ initial value, provided that the initial value is suitably small. Moreover, we also show that the solution is asymptotic to the solution $u_L$ to the corresponding linear equation as time tends to infinity. Finally, asymptotic profile of the solution $u_L$ to the linearized problem is also discussed.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1038.html"
}
@Article{Han2017,
author="Han, D.",
title="Functional identities of degree 2 in CSL algebras",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1601-1619",
abstract="Let $\mathscr{L}$ be a commutative subspace lattice generated by finite many commuting independent nests on a complex separable Hilbert space $\mathbf{H}$ with ${\rm dim}\hspace{2pt}\mathbf{H}\geq 3$, ${\rm Alg}\mathscr{L}$ the CSL algebra associated with $\mathscr{L}$ and $\mathscr{M}$ be an algebra containing ${\rm Alg}\mathscr{L}$. This article is aimed at describing the form of additive mapppings $F_1, F_2, G_1, G_2\colon {\rm Alg}\mathscr{L}\longrightarrow \mathscr{M}$ satisfying functional identity $F_1(X)Y+F_2(Y)X+XG_2(Y)+YG_1(X)=0$ for all $X, Y\in {\rm Alg}\mathscr{L}$. As an application generalized inner biderivations and commuting additive mappings are determined.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1035.html"
}
@Article{Davoudian2017,
author="Davoudian, M.
and Ghayour, O.",
title="The length of Artinian modules with countable Noetherian dimension",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1621-1628",
abstract="It is shown that if $M$ is an Artinian module over a ring $R$, then $M$ has Noetherian dimension $\alpha $, where $\alpha $ is a countable ordinal number, if and only if $\omega ^{\alpha }+2\leq \it{l}(M)\leq \omega ^{\alpha +1}$, where $ \it{l}(M)$ is the length of $M$, $i.e.,$ the least ordinal number such that the interval $[0, \ \it{l}(M))$ cannot be embedded in the lattice of all submodules of $M$.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1042.html"
}
@Article{Ghosseiri2017,
author="Ghosseiri, N.M.",
title="On derivations and biderivations of trivial extensions and triangular matrix rings",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1629-1644",
abstract="Triangular matrix rings are examples of trivial extensions. In this article we determine the structure of derivations and biderivations of the trivial extensions, and thereby we describe the derivations and biderivations of the upper triangular matrix rings. Some related results are also obtained.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1044.html"
}
@Article{Jin2017,
author="Jin, W.",
title="Two-geodesic transitive graphs of prime power order",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1645-1655",
abstract="In a non-complete graph $\Gamma$, a vertex triple $(u,v,w)$ with $v$ adjacent to both $u$ and $w$ is called a $2$-geodesic if $uneq w$ and $u,w$ are not adjacent. The graph $\Gamma$ is said to be $2$-geodesic transitive if its automorphism group is transitive on arcs, and also on 2-geodesics. We first produce a reduction theorem for the family of $2$-geodesic transitive graphs of prime power order. Next, we classify such graphs which are also vertex quasiprimitive.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1045.html"
}
@Article{KazemiTorbaghan2017,
author="Kazemi Torbaghan, S.M.
and Rezaii, M.M.",
title="Stability of F-biharmonic maps",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1657-1669",
abstract="This paper studies some properties of F-biharmonic maps between Riemannian manifolds. By considering the first variation formula of the F-bienergy functional, F-biharmonicity of conformal maps are investigated. Moreover, the second variation formula for F-biharmonic maps is obtained. As an application, instability and nonexistence theorems for F-biharmonic maps are given.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1049.html"
}
@Article{Zhao2017,
author="Zhao, G.
and Zhang, B.",
title="Gorenstein hereditary rings with respect to a semidualizing module",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1671-1677",
abstract="Let $C$ be a semidualizing module. We first investigate the properties of finitely generated $G_C$-projective modules. Then, relative to $C$, we introduce and study the rings over which every submodule of a projective (flat) module is $G_C$-projective (flat), which we call $C$-Gorenstein (semi)hereditary rings. It is proved that every $C$-Gorenstein hereditary ring is both coherent and $C$-Gorenstein semihereditary.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1052.html"
}
@Article{Anh2017,
author="Anh, N.L.H.",
title="Duality for vector equilibrium problems with constraints",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1679-1694",
abstract="In the paper, we study duality for vector equilibrium problems using a concept of generalized convexity in dealing with the quasi-relative interior. Then, their applications to optimality conditions for quasi-relative efficient solutions are obtained. Our results are extensions of several existing ones in the literature when the ordering cones in both the objective space and the constraint space have possibly empty interior.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1053.html"
}
@Article{Moghimian2017,
author="Moghimian, M.",
title="An upper bound for the regularity of powers of edge ideals",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1695-1698",
abstract="A recent result due to Ha and Van Tuyl proved that the Castelnuovo-Mumford regularity of the quotient ring $R/I(G)$ is at most matching number of $G$, denoted by match$(G)$. In this paper, we provide a generalization of this result for powers of edge ideals. More precisely, we show that for every graph $G$ and every $s\geq 1$, $${\rm reg}( R/ I(G)^{s})\leq (2s-1) |E(G)|^{s-1} {\rm match}(G).$$",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1054.html"
}
@Article{Zhang2017,
author="Zhang, D.
and Hou, L.
and Ma, L.",
title="Properties of matrices with numerical ranges in a sector",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1699-1707",
abstract="Let $(A)$ be a complex $(n\times n)$ matrix and assume that the numerical range of $(A)$ lies in the set of a sector of half angle $(\alpha)$ denoted by $(S_{\alpha})$. We prove the numerical ranges of the conjugate, inverse and Schur complement of any order of $(A)$ are in the same $(S_{\alpha})$.The eigenvalues of some kinds of matrix product and numerical ranges of hadmard product, star-congruent matrix and unitary matrix of polar decompostion are also included in the same sector. Furthermore, we extend some inequalities about eigenvalues and singular values and the linear fractional maps to this class of matrices.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1056.html"
}
@Article{Zhang2017,
author="Zhang, X.
and Zhou, Y.",
title="On nuclei of sup-$\Sigma$-algebras",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1709-1721",
abstract="In this paper, algebraic investigations on sup-$\Sigma$-algebras are presented. A representation theorem for sup-$\Sigma$-algebras in terms of nuclei and quotients is obtained. Consequently, the relationship between the congruence lattice of a sup-$\Sigma$-algebra and the lattice of its nuclei is fully developed.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1057.html"
}
@Article{Guo2017,
author="Guo, G.
and Lü, S.",
title="High-accuracy alternating segment explicit-implicit method for the fourth-order heat equation",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1723-1737",
abstract="Based on a group of new Saul’yev type asymmetric difference schemes constructed by author, a high-order, unconditionally stable and parallel alternating segment explicit-implicit method for the numerical solution of the fourth-order heat equation is derived in this paper. The truncation error is fourth-order in space, which is much more accurate than the known alternating segment explicit-implicit methods. Numerical simulations are performed to show the effectiveness of thepresent method that are in preference to the prior methods.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1059.html"
}
@Article{Hussain2017,
author="Hussain, S.
and Sokół, J.
and Farooq, U.
and Darus, M.
and Mahmood, T.",
title="Applications of convolution and subordination to certain $p$-valent functions",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1739-1749",
abstract="In this paper we considered some new classes of multivalent functions by using Aouf-Silverman-Srivastava operator and derived some important results using convolution and subordination technique. This new class is an extension of a class which introduced before.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1060.html"
}
@Article{Preechasilp2017,
author="Preechasilp, P.
and wangkeeree, R.",
title="Hölder continuity of solution maps to a parametric weak vector equilibrium problem",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1751-1767",
abstract="In this paper, by using a new concept of strong convexity, we obtain sufficient conditions for Holder continuity of the solution mapping for a parametric weak vector equilibrium problem in the case where the solution mapping is a general set-valued one. Without strong monotonicity assumptions, the Holder continuity for solution maps to parametric weak vector optimization problems is discussed.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1065.html"
}
@Article{Lucas2017,
author="Lucas, P.
and Ramírez-Ospina, H.F.",
title="Hyperbolic surfaces of $L_1$-2-type",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1769-1779",
abstract="In this paper, we show that an $L_1$-2-type surface in the three-dimensional hyperbolic space $H^3\subset R^4_1$ either is an open piece of a standard Riemannian product $ H^1(-\sqrt{1+r^2})\times S^{1}(r)$, or it has non constant mean curvature, non constant Gaussian curvature, and non constant principal curvatures.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1062.html"
}
@Article{Khoddami2017,
author="Khoddami, A.R.",
title="The second dual of strongly zero-product preserving maps",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1781-1790",
abstract="The notion of strongly Lie zero-product preserving maps on normed algebras as a generalization of Lie zero-product preserving maps are defined. We give a necessary and sufficient condition from which a linear map between normed algebras to be strongly Lie zero-product preserving. Also some hereditary properties of strongly Lie zero-product preserving maps are presented. Finally the second dual of a strongly zero-product, strongly Jordan zero-product and strongly Lie zero-product preserving map on a certain class of normed algebras are investigated.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1063.html"
}
@Article{Rezaei2017,
author="Rezaei, M.
and Foruzanfar, Z.",
title="Classification of solvable groups with a given property",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1791-1800",
abstract="In this paper we classify all finite solvable groups satisfying the following property P5: their orders of representatives are set-wise relatively prime for any 5 distinct non-central conjugacy classes.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1064.html"
}
@Article{Rezaei2017,
author="Rezaei, R.
and Varmazyar, M.",
title="The graph of equivalence classes and Isoclinism of groups",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1801-1810",
abstract="Let $G$ be a non-abelian group and let $\Gamma(G)$ be the non-commuting graph of $G$. In this paper we define an equivalence relation $\sim$ on the set of $V(\Gamma(G))=G\setminus Z(G)$ by taking $x\sim y$ if and only if $N(x)=N(y)$, where $ N(x)=\{u\in G \ | \ x \textrm{ and } u \textrm{ are adjacent in }\Gamma(G)\}$ is the open neighborhood of $x$ in $\Gamma(G)$. We introduce a new graph determined by equivalence classes of non-central elements of $G$, denoted $\Gamma_E(G)$, as the graph whose vertices are $\{[x] \ | \ x \in G\setminus Z(G)\}$ and join two distinct vertices $[x]$ and $[y]$, whenever $[x,y]\neq 1$. We prove that group $G$ is AC-group if and only if $\Gamma_E(G)$ is complete graph. Among other results, we show that the graphs of equivalence classes of non-commuting graph associated with two isoclinic groups are isomorphic.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1061.html"
}
@Article{Ashiq2017,
author="Ashiq, M.
and Imran, T.
and Zaighum, M. A.",
title="Defining relations of a group $\Gamma= G^{3,4}(2,Z)$ and its action on real quadratic field",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1811-1820",
abstract="In this paper, we have shown that the coset diagrams for the action of a linear-fractional group $\Gamma$ generated by the linear-fractional transformations $r:z\rightarrow \frac{z-1}{z}$ and $s:z\rightarrow \frac{-1}{2(z+1)}$ on the rational projective line is connected and transitive. By using coset diagrams, we have shown that $r^{3}=s^{4}=1$ are defining relations for $\Gamma$. Furthermore, we have studied some important results for the action of group $\Gamma$ on real quadratic field $Q(\sqrt{n})$. Also, we have classified all the ambiguous numbers in the orbit.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1066.html"
}
@Article{Hou1999,
author="Hou, B.
and Wang, X.",
title="Entropy of a semigroup of maps from a set-valued view",
journal="Bulletin of the Iranian Mathematical Society",
year="1999",
volume="43",
number="6",
pages="1821-1835",
abstract="In this paper, we introduce a new entropy-like invariant, named Hausdorff metric entropy, for finitely generated semigroups acting on compact metric spaces from a set-valued view and study its properties. We establish the relation between Hausdorff metric entropy and topological entropy of a semigroup defined by Bis. Some examples with positive or zero Hausdorff metric entropy are given. Moreover, some notions of chaos are also well generalized for finitely generated semigroups from a set-valued view.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1067.html"
}
@Article{Kumar2017,
author="Kumar, S.
and Ravichandran, V.
and Verma, S.",
title="Initial coefficients of starlike functions with real coefficients",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1837-1854",
abstract="The sharp bounds for the third and fourth coefficients of Ma-Minda starlike functions having fixed second coefficient are determined. These results are proved by using certain constraint coefficient problem for functions with positive real part whose coefficients are real and the first coefficient is kept fixed. Analogous results are obtained for a general class of close-to-convex functions",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1068.html"
}
@Article{Ling2017,
author="Ling, B.",
title="Classifying pentavalnet symmetric graphs of order $24p$",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1855-1866",
abstract="A graph is said to be symmetric if its automorphism group is transitive on its arcs. A complete classification is given of pentavalent symmetric graphs of order 24p for each prime p. It is shown that a connected pentavalent symmetric graph of order 24p exists if and only if p=2, 3, 5, 11 or 17, and up to isomorphism, there are only eleven such graphs.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1069.html"
}
@Article{PayandehNajafabadi2017,
author="Payandeh Najafabadi, A.T.
and Kucerovsky, D.Z.",
title="A weak approximation for the Extrema's distributions of Levy processes",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="6",
pages="1867-1888",
abstract="Suppose that $X_{t}$ is a one-dimensional and real-valued L\'evy process started from $X_0=0$, which ({\bf 1}) its nonnegative jumps measure $\nu$ satisfying $\int_{\Bbb R}\min\{1,x^2\}\nu(dx)<\infty$ and ({\bf 2}) its stopping time $\tau(q)$ is either a geometric or an exponential distribution with parameter $q$ independent of $X_t$ and $\tau(0)=\infty.$ This article employs the Wiener-Hopf Factorization (WHF) to find, an $L^{p^*}({\Bbb R})$ (where $1/{p^*}+1/p=1$ and $1