2019-03-24T08:13:30Z
http://bims.iranjournals.ir/?_action=export&rf=summon&issue=51
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
Topological centers of the n-th dual of module actions
K.
Haghnejad Azar
A.
Riazi
We study the topological centers of $nth$ dual of Banach $mathcal{A}$-modules and we extend some propositions from Lau and "{U}lger into $n-th$ dual of Banach $mathcal{A}-modules$ where $ngeq 0$ is even number. Let $mathcal{B}$ be a Banach $mathcal{A}-bimodule$. By using some new conditions, we show that<br /> $ Z^ell_{mathcal{A}^{(n)}}(mathcal{B}^{(n)})=mathcal{B}^{(n)}$ and<br /> $ Z^ell_{mathcal{B}^{(n)}}(mathcal{A}^{(n)})=mathcal{A}^{(n)}$. We get some conclusions on group algebras.
Arens regularity
bilinear mapping
topological
center
2012
04
01
1
16
http://bims.iranjournals.ir/article_387_cd1a28bd46a6adf2fd6bf0a3fd1322c3.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
Lie triple derivation algebra of Virasoro-like algebra
H.
Wang
N.
Jing
Q. G.
Li
Let $mathfrak{L}$ be the Virasoro-like algebra and $mathfrak{g}$ its<br />derived algebra, respectively.<br /> We investigate the structure of the Lie triple<br />derivation algebra of $mathfrak{L}$ and $mathfrak{g}$. We prove<br />that they are both isomorphic to $mathfrak{L}$, which provides two<br />examples of invariance under triple derivation.
Lie derivation
Lie triple derivation
Virasoro-like algebra
2012
04
01
17
26
http://bims.iranjournals.ir/article_388_4ddeb63a9ac76b95a5711ce7787b4f74.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
Function spaces of Rees matrix semigroups
H.
Rahimi
We characterize function spaces of Rees matrix<br />semigroups. Then we study these spaces by using the topological<br />tensor product technique.
Semigroup compactification
completely 0-simple
semigroup
topological tensor product
2012
04
01
27
38
http://bims.iranjournals.ir/article_389_a776904facf379b7bc84321bd942fa54.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
Construction of a class of trivariate nonseparable compactly
supported wavelets with special dilation matrix
L.
Lan
C.
Zhengxing
H.
Yongdong
We present a method for the construction of compactly<br />supported $left (<br />begin{array}{lll}<br />1 & 0 & -1\<br />1 & 1 & 0 \<br />1 & 0 & 1\<br />end{array}<br />right )$-wavelets under a mild condition. Wavelets inherit the<br />symmetry of the corresponding scaling function and satisfies the<br />vanishing moment condition originating in the symbols of the scaling<br />function. As an application, an example is provided.
2012
04
01
39
54
http://bims.iranjournals.ir/article_390_5971fe402882bf91ce2224f6141594a0.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
On skew Armendariz and skew quasi-Armendariz
modules
A.
Alhevaz
A.
Moussavi
Let $alpha$ be an endomorphism and $delta$ an $alpha$-derivation<br />of a ring $R$. In this paper we study the relationship between an<br />$R$-module $M_R$ and the general polynomial module $M[x]$ over the<br />skew polynomial ring $R[x;alpha,delta]$. We introduce the notions<br />of skew-Armendariz modules and skew quasi-Armendariz modules which<br />are generalizations of $alpha$-Armendariz modules and extend the<br />classes of non-reduced skew-Armendariz modules. An equivalent<br />characterization of an $alpha$-skew Armendariz module is given.<br />Some properties of this generalization are established, and<br />connections of properties of a skew-Armendariz module $M_R$ with<br />those of $M[x]_{R[x;alpha,delta]}$ are investigated. As a<br />consequence we extend and unify several known results related to<br />Armendariz modules.
2012
04
01
55
84
http://bims.iranjournals.ir/article_391_faa8203cae36d2ab955dfe7cff11023e.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
Compact composition operators on certain analytic Lipschitz spaces
H.
Mahyar
A.
Sanatpour
We investigate compact composition operators on ceratin Lipschitz<br />spaces of analytic functions on the closed unit disc of the plane.<br />Our approach also leads to some results about composition<br />operators on Zygmund type spaces.
Compact operators
Bloch type spaces
Zygmund type
spaces
analytic Lipschitz spaces
differentiable Lipschitz
spaces
2012
04
01
85
99
http://bims.iranjournals.ir/article_392_68613fe870e50c12191861e98cadfcf1.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
On a decomposition of Hardy--Hilbert's type inequality
R.
Lashkaripour
A.
Moazzen
In this paper, two pairs of new inequalities are given, which decompose two Hilbert-type inequalities.
Hilbert's inequality
Hilbert-type inequality
integral inequality
2012
04
01
101
112
http://bims.iranjournals.ir/article_393_590b376cd7b26b3fc6a94b9b95691cb4.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
On co-Noetherian dimension of rings
A.
Haghany
M.
Vedadi
We define and study<br />co-Noetherian dimension of rings for which the injective envelope<br />of simple modules have finite Krull-dimension. This is a Morita<br />invariant dimension that measures how far the ring is from being<br />co-Noetherian. The co-Noetherian dimension of certain rings,<br />including commutative rings, are determined. It is<br /> shown that the class ${mathcal W}_n$ of rings with co-Noetherian dimension $leq<br />n$ is closed under homomorphic images and finite normalizing<br />extensions, and that for each $n$ there exist rings with<br />co-Noetherian dimension $n$. The possible relations between Krull<br /> and co-Noetherian dimensions are investigated, and examples are provided to<br /> show that these<br /> dimensions are independent of each<br />other.
Co-Noetherian
finitely cogenerated
Krull dimension
normalizing extension
2012
04
01
113
122
http://bims.iranjournals.ir/article_394_22246e6a6d66013fdfd1ed4b2e6cbbf3.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
On topological transitive maps on operator algebras
H.
Rezaei
We consider the transitive linear maps on the operator algebra $B(X)$<br />for a separable Banach space $X$. We show if a bounded linear map is norm transitive on $B(X)$,<br />then it must be hypercyclic with strong operator topology. Also we provide a SOT-transitive<br />linear map without being hypercyclic in the strong operator topology.
Hypercyclic operator
transitive map
strong operator topology
2012
04
01
123
130
http://bims.iranjournals.ir/article_395_7f397c884503a656306bf029f5887d11.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
Ranks of the common solution to some quaternion matrix equations
with applications
Q.
Wang
S.
Yu
We derive the formulas of the maximal and<br />minimal ranks of four real matrices $X_{1},X_{2},X_{3}$ and $X_{4}$<br />in common solution $X=X_{1}+X_{2}i+X_{3}j+X_{4}k$ to quaternion<br />matrix equations $A_{1}X=C_{1},XB_{2}=C_{2},A_{3}XB_{3}=C_{3}$. As<br />applications, we establish necessary and sufficient conditions for<br />the existence of the common real and complex solutions to the matrix<br />equations. We give the expressions of such solutions to this system<br />when the solvability conditions are met. Moreover, we present<br />necessary and sufficient conditions for the existence of real and<br />complex solutions to the system of quaternion<br />matrix equations $A_{1}X=C_{1},XB_{2}=C_{2},A_{3}XB_{3}=C_{3},A_{4}%<br />XB_{4}=C_{4}$. The findings of this paper extend some known results<br />in the literature.
Quaternion matrix equation
maximal and minimal rank
generalized inverse
real solution
complex solution
2012
04
01
131
157
http://bims.iranjournals.ir/article_396_b3c2a4e18ed3cb578254fb893db94ade.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
On Heyting algebras and dual BCK-algebras
Y.
Yon
K.
Kim
A Heyting algebra is a distributive lattice with implication and a dual $BCK$-algebra is an algebraic system having as models logical systems equipped with implication. The aim of this paper is to investigate the relation of Heyting algebras between dual $BCK$-algebras. We define notions of $i$-invariant and $m$-invariant on dual $BCK$-semilattices and prove that a Heyting semilattice is equivalent to an $i$-invariant and $m$-invariant dual $BCK$-semilattices, and show that a commutative Heyting algebra is equivalent to a bounded implicative dual $BCK$-algebra.
Heyting semilattice
Heyting algebra
dual $BCK$-algebra
2012
04
01
159
168
http://bims.iranjournals.ir/article_397_0b7c6a289b3214ec9be3fec521a61f1a.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
Application of fundamental relations on n-ary polygroups
S.
Mirvakili
B.
Davvaz
The class of $n$-ary polygroups is a certain subclass of $n$-ary hypergroups, a generalization of D{"o}rnte $n$-ary<br />groups and a generalization of polygroups. The<br />$beta^*$-relation and the $gamma^*$-relation are the smallest<br />equivalence relations on an $n$-ary polygroup $P$ such that<br />$P/beta^*$ and $P/gamma^*$ are an $n$-ary group and a<br />commutative $n$-ary group, respectively.<br /> We use the $beta^*$-relation and the $gamma^*$-relation on a given<br />$n$-ary polygroup and obtain some new results and some<br />fundamental theorems in this respect. In particular, we prove that the relation $gamma$ is transitive on an $n$-ary<br />polygroup.
Hypergroup
polygroup
$n$-ary
hypergroup
$n$-ary polygroup
derived $n$-ary subgroup
fundamental relation
2012
04
01
169
184
http://bims.iranjournals.ir/article_398_343a6bc9bb99db6c78480f38fbc278d8.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
Bivariate mean value interpolation on circles of the same radius
Kh.
Rahsepar Fard
We consider bivariate mean-value interpolation<br />problem, where the integrals over circles are interpolation data.<br /> In this case the problem is described over circles of the same radius and with centers are on a<br />straight line and it is shown that in this case the interpolation is not correct.
Bivariate
correct
mean-value interpolation
2012
04
01
185
192
http://bims.iranjournals.ir/article_399_b95dcaa7d9bc7d748d78d1b8e2d96805.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
k-forested choosability of graphs with bounded maximum average degree
X.
Zhang
G.
Liu
J.
Wu
A proper vertex coloring of a simple graph is $k$-forested if the graph induced by the vertices of any two color classes is a forest with maximum degree less than $k$. A graph is $k$-forested $q$-choosable if for a given list of $q$ colors associated with each vertex $v$, there exists a $k$-forested coloring of $G$ such that each vertex receives a color from its own list. In this paper, we prove that the $k$-forested choosability of a graph with maximum degree $Deltageq kgeq 4$ is at most $leftlceilfrac{Delta}{k-1}rightrceil+1$, $leftlceilfrac{Delta}{k-1}rightrceil+2$ or $leftlceilfrac{Delta}{k-1}rightrceil+3$ if its maximum average degree is less than $frac{12}{5}$, $frac{8}{3}$ or $3$, respectively.
k-forested coloring
linear coloring
maximum average degree
2012
04
01
193
201
http://bims.iranjournals.ir/article_400_33c983c4321f08451943d77a341f126b.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
c-Frames and c-Bessel mappings
M.
Faroughi
E.
Osgooei
The theory of c-frames and c-Bessel mappings are the generalizations<br />of the theory of frames and Bessel sequences. In this paper, we<br />obtain several equivalent conditions for dual of c-Bessel mappings.<br />We show that for a c-Bessel mapping $f$, a retrieval<br />formula with respect to a c-Bessel mapping $g$ is satisfied if and<br />only if $g$ is sum of the canonical dual of $f$ with a c-Bessel<br />mapping which weakly belongs to the null space of the pre-frame operator<br />of $f$. Also, we prove that composition of pre-frame operator with<br />analysis operator of two square norm integrable c-Bessel mappings<br />are trace class operators.
Lebesque integral
Hilbert space
C*-algebra
trace class operator
frame theory
2012
04
01
203
222
http://bims.iranjournals.ir/article_401_8c30c121871d0918061a85cbc216a1ae.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
A variational approach to the problem of oscillations of an
elastic half cylinder
M.
Hasansoy
This paper is devoted to the spectral theory (more precisely, to<br />the variational theory of the spectrum) of guided waves in an<br />elastic half cylinder. We use variational methods to investigate<br />several aspects of propagating waves, including localization (see<br />Figure 1), existence criteria and the formulas to find them. We<br />approach the problem using two complementary methods: The<br />variational methods for non-overdamped operator pencils to<br />describe eigenvalues in definite spectral zones, and<br />Ljusternik-Schnirelman critical point theory to investigate<br />eigenvalues in the mixed spectral zone where the classical<br />variational theory of operator pencils is not applicable.
Propagating waves
Eigenvalue
variational principle
critical point
2012
04
01
223
240
http://bims.iranjournals.ir/article_402_a5aba3e401d0e7ee3449edaa65081a67.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
On the existence and uniqueness of solution of initial value problem for fractional order differential equations on time scales
A.
Ahmadkhanlu
M.
Jahanshahi
n this paper, at first the concept of Caputo fractional<br />derivative is generalized on time scales. Then the fractional order<br />differential equations are introduced on time scales. Finally,<br />sufficient and necessary conditions are presented for the existence<br />and uniqueness of solution of initial value<br />problem including fractional order differential equations.
Time scales
differential equations
initial value problem
fractional order derivative
2012
01
01
241
252
http://bims.iranjournals.ir/article_403_01350f088186d1293a225495267a033a.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
On the stability of generalized derivations on Banach algebras
E.
Ansari-Piri
E.
Anjidani
We investigate the stability of generalized<br />derivations on Banach algebras with a bounded central approximate<br />identity. We show that every approximate generalized derivation in<br />the sense of Rassias, is an exact generalized derivation. Also the<br />stability problem of generalized derivations on the faithful Banach<br />algebras is investigated.
Hyers-Ulam-Rassias stability
generalized
derivation
bounded central approximate identity
faithful Banach
algebra
2012
04
01
253
263
http://bims.iranjournals.ir/article_404_995234a601e9852e2877afdf4d4a996d.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
Non-regularity of multiplications for general measure algebras
J.
Laali
M.
Ettefagh
Let $fM(X)$ be the space of all finite<br /> regular Borel measures on $X$. A general measure algebra is a subspace of<br />$fM(X)$,<br />which is an $L$-space and<br /> has a multiplication preserving the probability measures.<br /> Let $cLsubseteqfM(X)$ be a general measure algebra on a locally<br />compact space<br /> $X$. In this paper, we investigate the relation between Arens<br />regularity of $cL$ and the topology of $X$. We find conditions<br />under which the Arens regularity of $fL$ implies the compactness of $X$.<br />We<br />show that these conditions are necessary.<br />We also present some examples in showing that the new conditions are<br />different from Theorem 3.1 of cite{7}.
2012
04
01
265
274
http://bims.iranjournals.ir/article_405_227f292f58bd40a514de4597f4abbad2.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
1
Extensions of strongly alpha-reversible rings
L.
Zhao
X.
Zhu
We introduce the notion of<br />strongly $alpha$-reversible rings which is a strong version of<br />$alpha$-reversible rings, and investigate its properties. We first<br />give an example to show that strongly reversible rings need not be<br />strongly $alpha$-reversible. We next argue about the strong<br />$alpha$-reversibility of some kinds of extensions. A number of<br />properties of this version are established. It is shown that a ring<br />$R$ is strongly right $alpha$-reversible if and only if its<br />polynomial ring $R[x]$ is strongly right $alpha$-reversible if and<br />only if its Laurent polynomial ring $R[x, x^{-1}]$ is strongly right<br />$alpha$-reversible. Moreover, we introduce the concept of<br />Nil-$alpha$-reversible rings to investigate the nilpotent elements<br />in $alpha$-reversible rings. Examples are given to show that right<br />Nil-$alpha$-reversible rings need not be right $alpha$-reversible.
reversible rings
strongly $alpha$-reversible rings
Nil-$alpha$-reversible rings
weakly reversible rings
2012
04
01
275
292
http://bims.iranjournals.ir/article_406_9c2daebbe954621c0aa88d44f49c476e.pdf