2024-03-29T07:05:23Z
http://bims.iranjournals.ir/?_action=export&rf=summon&issue=90
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
Bulletin of the Iranian Mathematical Society
2017
02
01
http://bims.iranjournals.ir/article_989_5c1a0a5ede9dce9b4a8be03816801868.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
The associated measure on locally compact cocommutative KPC-hypergroups
S. M.
Tabatabaie
F.
Haghighifar
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 $Q$.
Cocommutative hypergroups
DJS-hypergroups
KPC-hypergroups
positive definite measures
2017
02
22
1
15
http://bims.iranjournals.ir/article_990_a23635573325622f485242df74978aa1.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
Modules of the toroidal Lie algebra $\widehat{\widehat{\mathfrak{sl}}}_{2}$
N.
Jing
C.
Wang
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 $c_2=0$.
Double affine Lie algebras
Verma module
integrability
irreducibility
2017
02
22
17
24
http://bims.iranjournals.ir/article_991_ec11bdd79102d5e774ba83e2d7387147.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
$\varphi$-Connes amenability of dual Banach algebras
A.
Ghaffari
S.
Javadi
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.
Banach algebras
Connes amenability
derivation
dual Banach algebra
2017
02
22
25
39
http://bims.iranjournals.ir/article_992_6d8636f6087c3fdc1f05ec75a202eb7d.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
Clifford-Fischer theory applied to a group of the form $2_{-}^{1+6}{:}((3^{1+2}{:}8){:}2)$
A. B. M.
Basheer
J.
Moori
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.
Group extensions
extra-special $p-$group
Clifford theory
inertia groups
Fischer matrices
character table
2017
02
22
41
52
http://bims.iranjournals.ir/article_993_8b52bcdde77ab521f07a4dc12e8b2f9c.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
Construction of measures of noncompactness of $C^k(\Omega)$ and $C^k_0$ and their application to functional integral-differential equations
R.
Arab
R.
Allahyari
A.
Shole Haghighi
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.
Measure of noncompactness
Darbo's fixed point theorem
Arzela-Ascoli theorem
integral-differential equations
2017
02
22
53
67
http://bims.iranjournals.ir/article_994_cd6cfba8a4671e144751135c1b54b0c3.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
Some lower bounds for the $L$-intersection number of graphs
B.
Omoomi
Z.
Maleki
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.
Set intersection representation
$L$-Intersection number
bipartite set intersection representation
bipartite $L$-intersection number
2017
02
22
69
78
http://bims.iranjournals.ir/article_995_9bdcf50ae5754e5585f6d9f15061a972.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
On dimension of a special subalgebra of derivations of nilpotent Lie algebras
S.
Sheikh-Mohseni
F.
Saeedi
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.
Lie algebra
derivation
nilpotent Lie algebra
2017
02
22
79
93
http://bims.iranjournals.ir/article_996_759f8d9d27872918fa60879d5f1baaa4.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
Application of Hopf's lemma on contact CR-warped product submanifolds of a nearly Kenmotsu manifold
M. A.
Khan
F. R.
Al-Solamy
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.
Warped product
CR-submanifolds
nearly Kenmostsu manifold
2017
02
22
95
107
http://bims.iranjournals.ir/article_997_1702cd4c9ca4b5fd2b83f2047f8faeef.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
Structure of finite wavelet frames over prime fields
A.
Ghaani Farashahi
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 $\mathbb{W}_p$.
Finite wavelet frames
finite wavelet group
prime fields
2017
02
22
109
120
http://bims.iranjournals.ir/article_998_dbe0ac2e91830adab113261e8b964e59.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
$PI$-extending modules via nontrivial complex bundles and Abelian endomorphism rings
Y.
Kara
Adnan
Tercan
R.
Yaşar
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.
extending module
projective invariant
tangent bundle
exchange property
2017
02
22
121
129
http://bims.iranjournals.ir/article_999_9307a1ce4337ba7bd09adbd5dc888465.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
Embedding normed linear spaces into $C(X)$
M.
Fakhar
M. R.
Koushesh
M.
Raoofi
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.
Stone-Cech compactification
Banach-Alaoglu theorem
embedding theorem
2017
02
22
131
135
http://bims.iranjournals.ir/article_1000_77895c4a78751ae5a2b08a3a3f7d20d2.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
Local tracial C*-algebras
J.
Yang
Q.
Fan
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.
C*-algebra
local tracial algebra
tracial Rokhlin property
2017
02
22
137
145
http://bims.iranjournals.ir/article_1001_a2d9d7e3dfb2e41c26c653faf93ba36b.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
Positive solutions for asymptotically periodic Kirchhoff-type equations with critical growth
H.
Shi
H.
Chen
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.
Kirchhoff-type equations
Critical growth
variational methods
2017
02
22
147
161
http://bims.iranjournals.ir/article_1002_618460655d8d3715c47ad9fa384f957c.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
Some compact generalization of inequalities for polynomials with prescribed zeros
H. A.
Soliman Mezerji
S.
Ahamadi
M.
Bidkham
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.
Polynomial
Inequality
Zeros
2017
02
22
163
170
http://bims.iranjournals.ir/article_1003_d592347981a519ad897b7a527448ae58.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
Finite $p$-groups and centralizers of non-cyclic abelian subgroups
J.
Wang
X.
Guo
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.
finite $p$-group
centralizer
normal rank
cyclic group
2017
02
22
171
192
http://bims.iranjournals.ir/article_1004_cd9f50a94bd9ce4c81bc763dd8930a0a.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
On semi-$\Pi$-property of subgroups of finite group
A.
Liu
B.
Li
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.
finite group
semi-$Pi$-property
SE subgroup
$p$-nilpotent
2017
02
22
193
204
http://bims.iranjournals.ir/article_1005_3c8c90d6c9f8d87acf96e66eeee1e5f2.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
Infinitely many solutions for a class of $p$-biharmonic equation in $\mathbb{R}^N$
Q.
Chen
C.
Chen
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 $h_1(x), h_2(x)$.
$p$-biharmonic equation
The Nehari manifold and fibering maps
Variational method
2017
02
22
205
215
http://bims.iranjournals.ir/article_1006_5c370b44c312119124b4e2eccc8fbc13.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
On the diameter of the commuting graph of the full matrix ring over the real numbers
J. M.
Grau
A.
Oller-Marcén
C.
Tasis
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 $4$.
Commuting graph
diameter
idempotent matrix
2017
02
22
217
221
http://bims.iranjournals.ir/article_1007_ccedbbc0a55f567b52de49bd6484f998.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
Existence of solutions for a variational inequality on the half-line
O.
Frites
T.
Moussaoui
D.
O'Regan
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.
Variational inequality
critical point
mountain pass theorem
minimization
Szulkin-type functionals
2017
02
22
223
237
http://bims.iranjournals.ir/article_1008_f94700157329996cdf03d2c2f8b2241a.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
1
Some iterative method for finding a common zero of a finite family of accretive operators in Banach spaces
K.
Sitthithakerngkiet
P.
Sunthrayuth
P.
Kumam
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.
Iterative method
accretive operator
strong convergence
common zero
Uniformly G^ateaux differentiable norm
Gauge function
2017
02
22
239
258
http://bims.iranjournals.ir/article_1009_079258258926c9d4634783d3b9662fee.pdf