2012
38
1
1
292
Topological centers of the nth dual of module actions
2
2
We study the topological centers of $nth$ dual of Banach $mathcal{A}$modules and we extend some propositions from Lau and "{U}lger into $nth$ 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 $ Z^ell_{mathcal{A}^{(n)}}(mathcal{B}^{(n)})=mathcal{B}^{(n)}$ and $ Z^ell_{mathcal{B}^{(n)}}(mathcal{A}^{(n)})=mathcal{A}^{(n)}$. We get some conclusions on group algebras.
3

1
16


K.
Haghnejad Azar
University of Mohghegh Ardabili
University of Mohghegh Ardabili
Iran


A.
Riazi
Amirkabir University of Technology
Amirkabir University of Technology
Iran
Arens regularity
bilinear mapping
topological center
Lie triple derivation algebra of Virasorolike algebra
2
2
Let $mathfrak{L}$ be the Virasorolike algebra and $mathfrak{g}$ itsderived algebra, respectively. We investigate the structure of the Lie triplederivation algebra of $mathfrak{L}$ and $mathfrak{g}$. We provethat they are both isomorphic to $mathfrak{L}$, which provides twoexamples of invariance under triple derivation.
3

17
26


H.
Wang
Hunan University, China
Hunan University, China
China (P. R. C.)


N.
Jing
South China University of Technology, China
South China University of Technology, China
China (P. R. C.)


Q. G.
Li
Hunan University, China
Hunan University, China
China (P. R. C.)
Lie derivation
Lie triple derivation
Virasorolike algebra
Function spaces of Rees matrix semigroups
2
2
We characterize function spaces of Rees matrixsemigroups. Then we study these spaces by using the topologicaltensor product technique.
3

27
38


H.
Rahimi
Islamic Azad University, Iran
Islamic Azad University, Iran
Iran
rahimi@iauctb.ac.ir
Semigroup compactification
completely 0simple semigroup
topological tensor product
Construction of a class of trivariate nonseparable compactly
supported wavelets with special dilation matrix
2
2
We present a method for the construction of compactlysupported $left (begin{array}{lll}1 & 0 & 1\1 & 1 & 0 \1 & 0 & 1\end{array}right )$wavelets under a mild condition. Wavelets inherit thesymmetry of the corresponding scaling function and satisfies thevanishing moment condition originating in the symbols of the scalingfunction. As an application, an example is provided.
3

39
54


L.
Lan
Xi'an University of Arts and Science
Xi'an University of Arts and Science
China (P. R. C.)


C.
Zhengxing
Xi'an Jiaotong University
Xi'an Jiaotong University
China (P. R. C.)


H.
Yongdong
The Northwest Secondly National
College
The Northwest Secondly National
College
China (P. R. C.)
On skew Armendariz and skew quasiArmendariz
modules
2
2
Let $alpha$ be an endomorphism and $delta$ an $alpha$derivationof a ring $R$. In this paper we study the relationship between an$R$module $M_R$ and the general polynomial module $M[x]$ over theskew polynomial ring $R[x;alpha,delta]$. We introduce the notionsof skewArmendariz modules and skew quasiArmendariz modules whichare generalizations of $alpha$Armendariz modules and extend theclasses of nonreduced skewArmendariz modules. An equivalentcharacterization of an $alpha$skew Armendariz module is given.Some properties of this generalization are established, andconnections of properties of a skewArmendariz module $M_R$ withthose of $M[x]_{R[x;alpha,delta]}$ are investigated. As aconsequence we extend and unify several known results related toArmendariz modules.
3

55
84


A.
Alhevaz
Tarbiat Modares University
Tarbiat Modares University
Iran
a.alhevaz@yahoo.com


A.
Moussavi
Tarbiat Modares University
Tarbiat Modares University
Iran
moussavi.a@modares.ac.ir
Compact composition operators on certain analytic Lipschitz spaces
2
2
We investigate compact composition operators on ceratin Lipschitzspaces of analytic functions on the closed unit disc of the plane.Our approach also leads to some results about compositionoperators on Zygmund type spaces.
3

85
99


H.
Mahyar
Kharazmi University
Kharazmi University
Iran


A.
Sanatpour
Kharazmi University
Kharazmi University
Iran
Compact operators
Bloch type spaces
Zygmund type spaces
analytic Lipschitz spaces
differentiable Lipschitz spaces
On a decomposition of HardyHilbert's type inequality
2
2
In this paper, two pairs of new inequalities are given, which decompose two Hilberttype inequalities.
3

101
112


R.
Lashkaripour
University of Sistan and Baluchestan
University of Sistan and Baluchestan
Iran


A.
Moazzen
University of Sistan and Baluchestan
University of Sistan and Baluchestan
Iran
Hilbert's inequality
Hilberttype inequality
integral inequality
On coNoetherian dimension of rings
2
2
We define and studycoNoetherian dimension of rings for which the injective envelopeof simple modules have finite Krulldimension. This is a Moritainvariant dimension that measures how far the ring is from beingcoNoetherian. The coNoetherian dimension of certain rings,including commutative rings, are determined. It is shown that the class ${mathcal W}_n$ of rings with coNoetherian dimension $leqn$ is closed under homomorphic images and finite normalizingextensions, and that for each $n$ there exist rings withcoNoetherian dimension $n$. The possible relations between Krull and coNoetherian dimensions are investigated, and examples are provided to show that these dimensions are independent of eachother.
3

113
122


A.
Haghany
Isfahan University of Technology
Isfahan University of Technology
Iran
aghagh@cc.iut.ac.ir


M.
Vedadi
Isfahan University of Technology
Isfahan University of Technology
Iran
mrvedadi@cc.iut.ac.ir
CoNoetherian
finitely cogenerated
Krull dimension
normalizing extension
On topological transitive maps on operator algebras
2
2
We consider the transitive linear maps on the operator algebra $B(X)$for a separable Banach space $X$. We show if a bounded linear map is norm transitive on $B(X)$,then it must be hypercyclic with strong operator topology. Also we provide a SOTtransitivelinear map without being hypercyclic in the strong operator topology.
3

123
130


H.
Rezaei
University of Yasouj
University of Yasouj
Iran
rezaei@mail.yu.ac.ir
Hypercyclic operator
transitive map
strong operator topology
Ranks of the common solution to some quaternion matrix equations
with applications
2
2
We derive the formulas of the maximal andminimal ranks of four real matrices $X_{1},X_{2},X_{3}$ and $X_{4}$in common solution $X=X_{1}+X_{2}i+X_{3}j+X_{4}k$ to quaternionmatrix equations $A_{1}X=C_{1},XB_{2}=C_{2},A_{3}XB_{3}=C_{3}$. Asapplications, we establish necessary and sufficient conditions forthe existence of the common real and complex solutions to the matrixequations. We give the expressions of such solutions to this systemwhen the solvability conditions are met. Moreover, we presentnecessary and sufficient conditions for the existence of real andcomplex solutions to the system of quaternionmatrix equations $A_{1}X=C_{1},XB_{2}=C_{2},A_{3}XB_{3}=C_{3},A_{4}%XB_{4}=C_{4}$. The findings of this paper extend some known resultsin the literature.
3

131
157


Q.
Wang
Shanghai University
Shanghai University
China (P. R. C.)
wqw858@yahoo.com.cn


S.
Yu
East China University of Science and Technology
East China University of Science and Technology
China (P. R. C.)
yushawn@163.com
Quaternion matrix equation
maximal and minimal rank
generalized inverse
real solution
complex solution
On Heyting algebras and dual BCKalgebras
2
2
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.
3

159
168


Y.
Yon
Mokwon University
Mokwon University
Korea, Republic of
yhyon@mokwon.ac.kr


K.
Kim
Chungju National University
Chungju National University
Korea, Republic of
ghkim@cjnu.ac.kr
Heyting semilattice
Heyting algebra
dual $BCK$algebra
Application of fundamental relations on nary polygroups
2
2
The class of $n$ary polygroups is a certain subclass of $n$ary hypergroups, a generalization of D{"o}rnte $n$arygroups and a generalization of polygroups. The$beta^*$relation and the $gamma^*$relation are the smallestequivalence relations on an $n$ary polygroup $P$ such that$P/beta^*$ and $P/gamma^*$ are an $n$ary group and acommutative $n$ary group, respectively. We use the $beta^*$relation and the $gamma^*$relation on a given$n$ary polygroup and obtain some new results and somefundamental theorems in this respect. In particular, we prove that the relation $gamma$ is transitive on an $n$arypolygroup.
3

169
184


S.
Mirvakili
Payame Noor University
Payame Noor University
Iran
saeed mirvakili@yahoo.com


B.
Davvaz
Yazd University
Yazd University
Iran
davvaz@yazduni.ac.ir
Hypergroup
polygroup
$n$ary hypergroup
$n$ary polygroup
derived $n$ary subgroup
fundamental relation
Bivariate mean value interpolation on circles of the same radius
2
2
We consider bivariate meanvalue interpolationproblem, where the integrals over circles are interpolation data. In this case the problem is described over circles of the same radius and with centers are on astraight line and it is shown that in this case the interpolation is not correct.
3

185
192


Kh.
Rahsepar Fard
University of Qom
University of Qom
Iran
rahseparfard@gmail.com
Bivariate
correct
meanvalue interpolation
kforested choosability of graphs with bounded maximum average degree
2
2
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 $leftlceilfrac{Delta}{k1}rightrceil+1$, $leftlceilfrac{Delta}{k1}rightrceil+2$ or $leftlceilfrac{Delta}{k1}rightrceil+3$ if its maximum average degree is less than $frac{12}{5}$, $frac{8}{3}$ or $3$, respectively.
3

193
201


X.
Zhang
Xidian University
Xidian University
China (P. R. C.)
xzhang@xidian.edu.cn


G.
Liu
Shandong University
Shandong University
China (P. R. C.)
gzliu@sdu.edu.cn


J.
Wu
Shandong University
Shandong University
China (P. R. C.)
jlwu@sdu.edu.cn
kforested coloring
linear coloring
maximum average degree
cFrames and cBessel mappings
2
2
The theory of cframes and cBessel mappings are the generalizationsof the theory of frames and Bessel sequences. In this paper, weobtain several equivalent conditions for dual of cBessel mappings.We show that for a cBessel mapping $f$, a retrievalformula with respect to a cBessel mapping $g$ is satisfied if andonly if $g$ is sum of the canonical dual of $f$ with a cBesselmapping which weakly belongs to the null space of the preframe operatorof $f$. Also, we prove that composition of preframe operator withanalysis operator of two square norm integrable cBessel mappingsare trace class operators.
3

203
222


M.
Faroughi
Islamic Azad University
Islamic Azad University
Iran
mhfaroughi@yahoo.com


E.
Osgooei
University of Tabriz
University of Tabriz
Iran
Oskouei@yahoo.com
Lebesque integral
Hilbert space
C*algebra
trace class operator
frame theory
A variational approach to the problem of oscillations of an
elastic half cylinder
2
2
This paper is devoted to the spectral theory (more precisely, tothe variational theory of the spectrum) of guided waves in anelastic half cylinder. We use variational methods to investigateseveral aspects of propagating waves, including localization (seeFigure 1), existence criteria and the formulas to find them. Weapproach the problem using two complementary methods: Thevariational methods for nonoverdamped operator pencils todescribe eigenvalues in definite spectral zones, andLjusternikSchnirelman critical point theory to investigateeigenvalues in the mixed spectral zone where the classicalvariational theory of operator pencils is not applicable.
3

223
240


M.
Hasansoy
Dogus University
Dogus University
Turkey
mhasansoy@dogus.edu.tr
Propagating waves
Eigenvalue
variational principle
critical point
On the existence and uniqueness of solution of initial value problem for fractional order differential equations on time scales
2
2
n this paper, at first the concept of Caputo fractionalderivative is generalized on time scales. Then the fractional orderdifferential equations are introduced on time scales. Finally,sufficient and necessary conditions are presented for the existenceand uniqueness of solution of initial valueproblem including fractional order differential equations.
3

241
252


A.
Ahmadkhanlu
Azarbayjan University of Tarbiat Moallem
Azarbayjan University of Tarbiat Moallem
Iran
s.a.ahmadkhanlu@azaruniv.edu


M.
Jahanshahi
Azarbayjan University of Tarbiat Moallem
Azarbayjan University of Tarbiat Moallem
Iran
jahanshahi@azaruniv.edu
Time scales
differential equations
initial value problem
fractional order derivative
On the stability of generalized derivations on Banach algebras
2
2
We investigate the stability of generalizedderivations on Banach algebras with a bounded central approximateidentity. We show that every approximate generalized derivation inthe sense of Rassias, is an exact generalized derivation. Also thestability problem of generalized derivations on the faithful Banachalgebras is investigated.
3

253
263


E.
AnsariPiri
University of Guilan
University of Guilan
Iran
e−ansari@guilan.ac.ir


E.
Anjidani
University of Guilan
University of Guilan
Iran
ehsan−anjidani@guilan.ac.ir
HyersUlamRassias stability
generalized derivation
bounded central approximate identity
faithful Banach algebra
Nonregularity of multiplications for general measure algebras
2
2
Let $fM(X)$ be the space of all finite regular Borel measures on $X$. A general measure algebra is a subspace of$fM(X)$,which is an $L$space and has a multiplication preserving the probability measures. Let $cLsubseteqfM(X)$ be a general measure algebra on a locallycompact space $X$. In this paper, we investigate the relation between Arensregularity of $cL$ and the topology of $X$. We find conditionsunder which the Arens regularity of $fL$ implies the compactness of $X$.Weshow that these conditions are necessary.We also present some examples in showing that the new conditions aredifferent from Theorem 3.1 of cite{7}.
3

265
274


J.
Laali
Kharazmi University
Kharazmi University
Iran
Laali@tmu.ac.ir


M.
Ettefagh
Islamic Azad University
Islamic Azad University
Iran
etefagh@iaut.ac.ir
Extensions of strongly alphareversible rings
2
2
We introduce the notion ofstrongly $alpha$reversible rings which is a strong version of$alpha$reversible rings, and investigate its properties. We firstgive an example to show that strongly reversible rings need not bestrongly $alpha$reversible. We next argue about the strong$alpha$reversibility of some kinds of extensions. A number ofproperties of this version are established. It is shown that a ring$R$ is strongly right $alpha$reversible if and only if itspolynomial ring $R[x]$ is strongly right $alpha$reversible if andonly if its Laurent polynomial ring $R[x, x^{1}]$ is strongly right$alpha$reversible. Moreover, we introduce the concept ofNil$alpha$reversible rings to investigate the nilpotent elementsin $alpha$reversible rings. Examples are given to show that rightNil$alpha$reversible rings need not be right $alpha$reversible.
3

275
292


L.
Zhao
Nanjing University
Nanjing University
Iran
lzhao78@gmail.com


X.
Zhu
Nanjing University
Nanjing University
Iran
zhuxs@nju.edu.cn
reversible rings
strongly $alpha$reversible rings
Nil$alpha$reversible rings
weakly reversible rings