2016
3
2
0
129
AMENABILITY OF VECTOR VALUED GROUP ALGEBRAS
2
2
The purpose of this article is to develop the notions of amenabilityfor vector valued group algebras. We prove that L1(G, A) is approximatelyweakly amenable where A is a unital separable Banach algebra. We givenecessary and sufficient conditions for the existence of a left invariant meanon L∞(G, A∗), LUC(G, A∗), WAP(G, A∗) and C0(G, A∗).
1

97
107


Ali
Ghaffari
Department of Mathematics, Semnan University, Semnan, Iran
Department of Mathematics, Semnan University,
Iran
aghaffari@semnan.ac.ir


Seyedeh Samaneh
Javadi Syahkale
Faculty of Engineering East Guilan, University of Guilan, Rudsar, Iran
Faculty of Engineering East Guilan, University
Iran
s.javadi62@gmail.com
Amenability
banach algebras
derivation
group algebra
invariant mean
IDEALS IN ELSEMIHYPERGROUPS ASSOCIATED TO ORDERED SEMIGROUPS
2
2
In this paper, we attempt to investigate the connection between various types of ideals (for examples $(m, n)$ideal, biideal, interior ideal, quasi ideal, prime ideal and maximal ideal) of an ordered semigroup $(S,cdot ,leq)$ and the correspond hyperideals of its ELhyperstructure $(S,*)$ (if exists). Moreover, we construct the class of EL$Gamma$semihypergroup associated to a partially ordered $Gamma$semigroup.
1

109
125


S. H.
Ghazavi
Department of MathematicsYazd UniversityYazdIran
Department of MathematicsYazd UniversityYazdIra
Iran
s.h.ghazavi@ashrafi.ac.ir


S. M.
Anvariyeh
Department Of MathematicsYazd UniversityYazdIran
Department Of MathematicsYazd UniversityYazdIra
Iran
anvariyeh@yazd.ac.ir


S.
Mirvakili
Department of Mathematics, Payame Noor University, Tehran, Iran
Department of Mathematics, Payame Noor University,
Iran
saeed_mirvakili@pnu.ac.ir
(m
n)ideal
interior ideal
Ends lemma
ELhyperstructures
ON ABSOLUTE CENTRAL AUTOMORPHISMS FIXING THE CENTER ELEMENTWISE
2
2
Let G be a finite pgroup and let Aut_l(G) be the group of absolute central automorphisms of G. In this paper we give necessary and sufficient condition on G such that each absolute central automorphism of G fixes the centre elementwise. Also we classify all groups of orders p^3 and p^4 whose absolute central automorphisms fix the centre elementwise.
1

127
131


Zahra
Kaboutari Farimani
Department of Mathematics, University of Birjand, Birjand, Iran.
Department of Mathematics, University of
Iran
kaboutarizf@gmail.com


Mohammad Mehdi
Nasrabadi
Department of Mathematics, University of Birjand, Birjand, Iran.
Department of Mathematics, University of
Iran
mnasrabadi@birjand.ac.ir
Absolute centre
absolute central automorphisms
finite pgroups
ON GRADED LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS
2
2
Let $R = bigoplus_{n in mathbb{N}_{0}} R_{n}$ be a standardgraded ring, $M$ be a finitely generated graded $R$module and $J$be a homogenous ideal of $R$. In this paper we study the gradedstructure of the $i$th local cohomology module of $M$ defined by apair of ideals $(R_{+},J)$, i.e. $H^{i}_{R_{+},J}(M)$. Moreprecisely, we discuss finiteness property and vanishing of thegraded components $H^{i}_{R_{+},J}(M)_{n}$.Also, we study the Artinian property and tameness of certainsubmodules and quotient modules of $H^{i}_{R_{+},J}(M)$.
1

133
146


Maryam
Jahangiri
Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran,
Iran AND Institute for Research in Fundamental Sciences (IPM) P.O.Box: 19395
5746, Tehran, Iran.
Faculty of Mathematical Sciences and Computer,
Iran
jahangiri@khu.ac.ir


Zohreh
Habibbi
Department of Mathematics, University of Payame Noor, P.O.Box 193953697,
Tehran, Iran.
Department of Mathematics, University of
Iran
z_habibi@pnu.ac.ir
graded modules
local cohomology module with respect to a pair of ideals
Artinian modules
tameness
RESULTS ON ALMOST COHENMACAULAY MODULES
2
2
Let $(R,underline{m})$ be a commutative Noetherian local ring and $M$ be a nonzero finitely generated $R$module. We show that if $R$ is almost CohenMacaulay and $M$ is perfect with finite projective dimension, then $M$ is an almost CohenMacaulay module. Also, we give some necessary and sufficient condition on $M$ to be an almost CohenMacaulay module, by using $Ext$ functors.
1

147
150


A.
Mafi
Department of Mathematics, University of Kurdistan, P.O.Box 416, Sanandaj,
Iran.
Department of Mathematics, University of
Iran
a_mafi@ipm.ir


S.
Tabejamaat
Department of Mathematics, Payame Noor University, P.O.Box 193953697,
Tehran, Iran.
Department of Mathematics, Payame Noor University,
Iran
samanetabejamaat_golestan@yahoo.com
Almost CohenMacaulay modules
CohenMacaulay modules
Ext functors
RATIONAL CHARACTER TABLE OF SOME FINITE GROUPS
2
2
The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational character tables are also considered into account.The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational character tables are also considered into account.
1

151
169


H.
Shabani
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, Kashan 87317−51167, I. R. Iran.
Department of Pure Mathematics, Faculty of
Iran
ghorbani30@gmail.com


A. R.
Ashrafi
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, Kashan 87317−51167, I. R. Iran.
Department of Pure Mathematics, Faculty of
Iran
ashrafi@kashanu.ac.ir


M.
Ghorbani
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785  136, I. R. Iran.
Department of Mathematics, Faculty of Science,
Iran
mghorbani@sru.ac.ir
Rational character table
character table
Galois group
MAGMAJOINEDMAGMAS: A CLASS OF NEW ALGEBRAIC STRUCTURES
2
2
By left magma$e$magma, I mean a set containingthe fixed element $e$, and equipped by two binary operations "$cdot$", $odot$ with the property $eodot (xcdot y)=eodot(xodot y)$, namelyleft $e$join law. So, $(X,cdot,e,odot)$ is a left magma$e$magmaif and only if $(X,cdot)$, $(X,odot)$ are magmas (groupoids), $ein X$ and the left $e$join law holds.Right (and twosided) magma$e$magmas are defined in an analogous way.Also, $X$ is magmajoinedmagma if it is magma$x$magma, for all $xin X$. Therefore, we introduce a big class of basicalgebraic structures with two binary operations which some of theirsubclasses are group$e$semigroups, loop$e$semigroups, semigroup$e$quasigroups,etc. A nice infinite [resp. finite] example for them is real groupgrouplike $(mathbb{R},+,0,+_1)$ [resp. Klein groupgrouplike].In this paper, I introduce and study the topic, construct several big classes of such algebraic structures and characterizeall identical magma$e$magma in several ways. The motivation of this study lies in some interesting connections to $f$Multiplications, some basic functional equations on algebraic structures and Grouplikes (recently been introduced by the author). At last, we show some of future directionsfor the researches.
1

171
199


M. H.
Hooshmand
Young Researchers and Elite Club, Shiraz Branch, Islamic Azad University, Shiraz,
Iran.
Young Researchers and Elite Club, Shiraz
Iran
hadi.hooshmand@gmail.com
08A99
20N02
20M99
20N05
NONNILNOETHERIAN MODULES OVER COMMUTATIVE RINGS
2
2
In this paper we introduce a new class of modules which is closely related to the class of Noetherian modules. Let $R$ be a commutative ring with identity and let $M$ be an $R$module such that $Nil(M)$ is a divided prime submodule of $M$. $M$ is called a NonnilNoetherian $R$module if every nonnil submodule of $M$ is finitely generated. We prove that many of the properties of Noetherian modules are also true for NonnilNoetherian modules.
1

201
210


A.
Yousefian Darani
Department of Mathematics and Applications, University of Mohaghegh Ardabili,
P.O.Box 5619911367, Ardabil, Iran.
Department of Mathematics and Applications,
Iran
youseffian@gmail.com
Noetherian rings
Noetherian modules, Finitely generated submodules, Divided submodules, Phimodules
A SHORT PROOF OF A RESULT OF NAGEL
2
2
Let $(R,fm)$ be a Gorenstein local ring and$M,N$ be two finitely generated modules over $R$. Nagel proved that if $M$ and $N$ are inthe same even liaison class, thenone has $H^i_{fm}(M)cong H^i_{fm}(N)$ for all $iIn this paper, we provide a short proof to this result.
1

211
215


N.
Shirmohammadi
Department of Mathematics, University of Tabriz, P.O.Box 5166616471, Tabriz,
Iran.
Department of Mathematics, University of
Iran
shirmohammadi@tabrizu.ac.ir
Linkage
Local cohomology
quasiGorenstein module
ON THE VANISHING OF DERIVED LOCAL HOMOLOGY MODULES
2
2
Let $R$ be a commutative Noetherian ring, $fa$ anideal of $R$ and $mathcal{D}(R)$ denote the derived category of$R$modules. For any homologically bounded complex $X$, we conjecture that$sup {bf L}Lambda^{fa}(X)leq$ mag$_RX$. We prove thisin several cases. This generalize the main result of Hatamkhani and DivaaniAazar cite{HD} for complexes.
1

217
225


M.
Hatamkhani
Department of Mathematics,
Faculty of Science,
Arak University,
Arak, 3815688349, Iran.
Department of Mathematics,
Faculty of Science,
Ara
Iran
mhatamkhani@araku.ac.ir
Local cohomology modules
local homology modules
magnitude
Noetherian dimension