@Article{,
author="",
title="Bulletin of the Iranian Mathematical Society",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="-",
abstract="",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_989.html"
}
@Article{Tabatabaie2017,
author="Tabatabaie, S. M.
and Haghighifar, F.",
title="The associated measure on locally compact cocommutative KPC-hypergroups",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="1-15",
abstract="We study harmonic analysis on cocommutative KPC-hyper-groups, which is a generalization of DJS-hypergroups, introduced by Kalyuzhnyi, Podkolzin and Chapovsky. We prove that there is a relationship between the associated measures $\mu$ and $\gamma \mu$, where $\mu$ is a Radon measure on KPC-hypergroup $Q$ and $\gamma$ is a character on $Q$.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_990.html"
}
@Article{Jing2017,
author="Jing, N.
and Wang, C.",
title="Modules of the toroidal Lie algebra $\widehat{\widehat{\mathfrak{sl}}}_{2}$",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="17-24",
abstract="Highest weight modules of the double affine Lie algebra $\widehat{\widehat{\mathfrak{sl}}}_{2}$ are studied under a new triangular decomposition. Singular vectors of Verma modules are determined using a similar condition with horizontal affine Lie subalgebras, and highest weight modules are described under the condition $c_1>0$ and $c_2=0$.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_991.html"
}
@Article{Ghaffari2017,
author="Ghaffari, A.
and Javadi, S.",
title="$\varphi$-Connes amenability of dual Banach algebras",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="25-39",
abstract="Generalizing the notion of character amenability for Banach algebras, we study the concept of $\varphi$-Connes amenability of a dual Banach algebra $\mathcal{A}$ with predual $\mathcal{A}_*$, where $\varphi$ is a homomorphism from $\mathcal{A}$ onto $\Bbb C$ that lies in $\mathcal{A}_*$. Several characterizations of $\varphi$-Connes amenability are given. We also prove that the following are equivalent for a unital weakly cancellative semigroup algebra $l^1(S)$: (i) $S$ is $\chi$-amenable. (ii) $l^1(S)$ is $\hat{\chi}$-Connes amenable. (iii) $l^1(S)$ has a $\hat{\chi}$-normal, virtual diagonal.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_992.html"
}
@Article{Basheer2017,
author="Basheer, A. B. M.
and Moori, J.",
title="Clifford-Fischer theory applied to a group of the form $2_{-}^{1+6}{:}((3^{1+2}{:}8){:}2)$",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="41-52",
abstract="In our paper [A. B. M. Basheer and J. Moori, On a group of the form $2^{10}{:}(U_{5}(2){:}2)$] we calculated the inertia factors, Fischer matrices and the ordinary character table of the split extension $ 2^{10}{:}(U_{5}(2){:}2)$ by means of Clifford-Fischer Theory. The second inertia factor group of $2^{10}{:}(U_{5}(2){:}2)$ is a group of the form $2_{-}^{1+6}{:}((3^{1+2}{:}8){:}2).$ The purpose of this paper is the determination of the conjugacy classes of $\overline{G}$ using the coset analysis method, the determination of the inertia factors, the computations of the Fischer matrices and the ordinary character table of the split extension $\overline{G}=2_{-}^{1+6}{:}((3^{1+2}{:}8){:}2)$ by means of Clifford-Fischer Theory. Through various theoretical and computational aspects we were able to determine the structures of the inertia factor groups. These are the groups $H_{1} = H_{2} = (3^{1+2}{:}8){:}2,\ $ $H_{3} =QD_{16}$ and $H_{4} = D_{12}.$ The Fischer matrices $\mathcal{F}_{i}$ of $\overline{G},$ which are complex valued matrices, are all listed in this paper and their sizes range between 2 and 5. The full character table of $\overline{G},$ which is $41 \times 41$ complex valued matrix, is available in the PhD thesis of the first author, which could be accessed online.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_993.html"
}
@Article{Arab2017,
author="Arab, R.
and Allahyari, R.
and Shole Haghighi, A.",
title="Construction of measures of noncompactness of $C^k(\Omega)$ and $C^k_0$ and their application to functional integral-differential equations",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="53-67",
abstract="In this paper, first, we investigate the construction of compact sets of $ C^k$ and $ C_0^k$ by proving ``$C^k, C_0^k-version$" of Arzel\`{a}-Ascoli theorem, and then introduce new measures of noncompactness on these spaces. Finally, as an application, we study the existence of entire solutions for a class of the functional integral-differential equations by using Darbo's fixed point theorem associated with these new measures of noncompactness. Further, some examples are presented to show the efficiency of our results.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_994.html"
}
@Article{Omoomi2017,
author="Omoomi, B.
and Maleki, Z.",
title="Some lower bounds for the $L$-intersection number of graphs",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="69-78",
abstract="For a set of non-negative integers~$L$, the $L$-intersection number of a graph is the smallest number~$l$ for which there is an assignment of subsets $A_v \subseteq \{1,\dots, l\}$ to vertices $v$, such that every two vertices $u,v$ are adjacent if and only if $|A_u \cap A_v|\in L$. The bipartite $L$-intersection number is defined similarly when the conditions are considered only for the vertices in different parts. In this paper, some lower bounds for the (bipartite) $L$-intersection number of a graph for various types $L$ in terms of the minimum rank of graph are obtained. To achieve the main results we employ the inclusion matrices of set systems and show that how the linear algebra techniques give elegant proof and stronger results in some cases.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_995.html"
}
@Article{Sheikh-Mohseni2017,
author="Sheikh-Mohseni, S.
and Saeedi, F.",
title="On dimension of a special subalgebra of derivations of nilpotent Lie algebras",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="79-93",
abstract="Let $L$ be a Lie algebra, $\mathrm{Der}(L)$ be the set of all derivations of $L$ and $\mathrm{Der}_c(L)$ denote the set of all derivations $\alpha\in\mathrm{Der}(L)$ for which $\alpha(x)\in [x,L]:=\{[x,y]\vert y\in L\}$ for all $x\in L$. We obtain an upper bound for dimension of $\mathrm{Der}_c(L)$ of the finite dimensional nilpotent Lie algebra $L$ over algebraically closed fields. Also, we classify all finite dimensional nilpotent Lie algebras $L$ over algebraically closed fields for which dim$\mathrm{Der}_c(L)$ attains its maximum value.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_996.html"
}
@Article{Khan2017,
author="Khan, M. A.
and Al-Solamy, F. R.",
title="Application of Hopf's lemma on contact CR-warped product submanifolds of a nearly Kenmotsu manifold",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="95-107",
abstract="In this paper we consider contact CR-warped product submanifolds of the type $M = N_T\times_f N_\perp$, of a nearly Kenmotsu generalized Sasakian space form $\bar M(f_1, f_2, f_3)$ and by use of Hopf's Lemma we show that $M$ is simply contact CR-product under certain condition. Finally, we establish a sharp inequality for squared norm of the second fundamental form and equality case is discussed. The results in this paper generalize existing results in the literature.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_997.html"
}
@Article{GhaaniFarashahi2017,
author="Ghaani Farashahi, A.",
title="Structure of finite wavelet frames over prime fields",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="109-120",
abstract="This article presents a systematic study for structure of finite wavelet frames over prime fields. Let $p$ be a positive prime integer and $\mathbb{W}_p$ be the finite wavelet group over the prime field $\mathbb{Z}_p$. We study theoretical frame aspects of finite wavelet systems generated by subgroups of the finite wavelet group $\mathbb{W}_p$.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_998.html"
}
@Article{Kara2017,
author="Kara, Y.
and Tercan, Adnan
and Yaşar, R.",
title="$PI$-extending modules via nontrivial complex bundles and Abelian endomorphism rings",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="121-129",
abstract="A module is said to be $PI$-extending provided that every projection invariant submodule is essential in a direct summand of the module. In this paper, we focus on direct summands and indecomposable decompositions of $PI$-extending modules. To this end, we provide several counter examples including the tangent bundles of complex spheres of dimensions bigger than or equal to 5 and certain hyper surfaces in projective spaces over complex numbers and obtain results when the $PI$-extending property is inherited by direct summands. Moreover, we show that under some module theoretical conditions $PI$-extending modules with Abelian endomorphism rings have indecomposable decompositions. Finally, we apply our former results, getting that, under suitable hypotheses, the finite exchange property implies the full exchange property.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_999.html"
}
@Article{Fakhar2017,
author="Fakhar, M.
and Koushesh, M. R.
and Raoofi, M.",
title="Embedding normed linear spaces into $C(X)$",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="131-135",
abstract="It is well known that every (real or complex) normed linear space $L$ is isometrically embeddable into $C(X)$ for some compact Hausdorff space $X$. Here $X$ is the closed unit ball of $L^*$ (the set of all continuous scalar-valued linear mappings on $L$) endowed with the weak$^*$ topology, which is compact by the Banach--Alaoglu theorem. We prove that the compact Hausdorff space $X$ can indeed be chosen to be the Stone--Cech compactification of $L^*\setminus\{0\}$, where $L^*\setminus\{0\}$ is endowed with the supremum norm topology.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1000.html"
}
@Article{Yang2017,
author="Yang, J.
and Fan, Q.",
title="Local tracial C*-algebras",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="137-145",
abstract="Let $\Omega$ be a class of unital $C^*$-algebras. We introduce the notion of a local tracial $\Omega$-algebra. Let $A$ be an $\alpha$-simple unital local tracial $\Omega$-algebra. Suppose that $\alpha:G\to $Aut($A$) is an action of a finite group $G$ on $A$ which has a certain non-simple tracial Rokhlin property. Then the crossed product algebra $C^*(G,A,\alpha)$ is a unital local tracial $\Omega$-algebra.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1001.html"
}
@Article{Shi2017,
author="Shi, H.
and Chen, H.",
title="Positive solutions for asymptotically periodic Kirchhoff-type equations with critical growth",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="147-161",
abstract="In this paper, we consider the following Kirchhoff-type equations: $-\left(a+b\int_{\mathbb{R}^{3}}|\nabla u|^{2}\right)\Delta u+V(x) u=\lambda$ $f(x,u)+u^{5}, \quad \mbox{in }\mathbb{R}^{3},$ $u(x)>0, \quad \mbox{in }\mathbb{R}^{3},$ $u\in H^{1}(\mathbb{R}^{3}) ,$ where $a,b>0$ are constants and $\lambda$ is a positive parameter. The aim of this paper is to study the existence of positive solutions for Kirchhoff-type equations with a nonlinearity in the critical growth under some suitable assumptions on $V(x)$ and $f(x,u)$. Recent results from the literature are improved and extended.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1002.html"
}
@Article{SolimanMezerji2017,
author="Soliman Mezerji, H. A.
and Ahamadi, S.
and Bidkham, M.",
title="Some compact generalization of inequalities for polynomials with prescribed zeros",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="163-170",
abstract="Let $p(z)=z^s h(z)$ where $h(z)$ is a polynomial of degree at most $n-s$ having all its zeros in $|z|\geq k$ or in $|z|\leq k$. In this paper we obtain some new results about the dependence of $|p(Rz)|$ on $|p(rz)| $ for $r^2\leq rR\leq k^2$, $k^2 \leq rR\leq R^2$ and for $R\leq r \leq k$. Our results refine and generalize certain well-known polynomial inequalities.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1003.html"
}
@Article{Wang2017,
author="Wang, J.
and Guo, X.",
title="Finite $p$-groups and centralizers of non-cyclic abelian subgroups",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="171-192",
abstract="A $p$-group $G$ is called a $\mathcal{CAC}$-$p$-group if $C_G(H)/H$ is cyclic for every non-cyclic abelian subgroup $H$ in $G$ with $H\nleq Z(G)$. In this paper, we give a complete classification of finite $\mathcal{CAC}$-$p$-groups.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1004.html"
}
@Article{Liu2017,
author="Liu, A.
and Li, B.",
title="On semi-$\Pi$-property of subgroups of finite group",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="193-204",
abstract="Let $G$ be a group and $H$ a subgroup of $G$. $H$ is said to have semi-$\Pi$-property in $G$ if there is a subgroup $T$ of $G$ such that $G=HT$ and $H\cap T$ has $\Pi$-property in $T$. In this paper, investigating on semi-$\Pi$-property of subgroups, we shall obtain some new description of finite groups.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1005.html"
}
@Article{Chen2017,
author="Chen, Q.
and Chen, C.",
title="Infinitely many solutions for a class of $p$-biharmonic equation in $\mathbb{R}^N$",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="205-215",
abstract="Using variational arguments, we prove the existence of infinitely many solutions to a class of $p$-biharmonic equation in $\mathbb{R}^N$. The existence of nontrivial solution is established under a new set of hypotheses on the potential $V(x)$ and the weight functions $h_1(x), h_2(x)$.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1006.html"
}
@Article{Grau2017,
author="Grau, J. M.
and Oller-Marcén, A.
and Tasis, C.",
title="On the diameter of the commuting graph of the full matrix ring over the real numbers",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="217-221",
abstract="In a recent paper C. Miguel proved that the diameter of the commuting graph of the matrix ring $\mathrm{M}_n(\mathbb{R})$ is equal to $4$ if either $n=3$ or $n\geq5$. But the case $n=4$ remained open, since the diameter could be $4$ or $5$. In this work we close the problem showing that also in this case the diameter is $4$.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1007.html"
}
@Article{Frites2017,
author="Frites, O.
and Moussaoui, T.
and O'Regan, D.",
title="Existence of solutions for a variational inequality on the half-line",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="223-237",
abstract=" In this paper we study the existence of nontrivial solutions for a variational inequality on the half-line. Our approach is based on the non-smooth critical point theory for Szulkin-type functionals.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1008.html"
}
@Article{Sitthithakerngkiet2017,
author="Sitthithakerngkiet, K.
and Sunthrayuth, P.
and Kumam, P.",
title="Some iterative method for finding a common zero of a finite family of accretive operators in Banach spaces",
journal="Bulletin of the Iranian Mathematical Society",
year="2017",
volume="43",
number="1",
pages="239-258",
abstract="The purpose of this paper is to introduce a new mapping for a finite family of accretive operators and introduce an iterative algorithm for finding a common zero of a finite family of accretive operators in a real reflexive strictly convex Banach space which has a uniformly G\^ateaux differentiable norm and admits the duality mapping $j_{\varphi}$, where $\varphi$ is a gauge function invariant on $[0,\infty)$. Furthermore, we prove the strong convergence under some certain conditions. The results obtained in this paper improve and extend the corresponding ones announced by many others.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_1009.html"
}