2017-04-30T23:16:52Z
http://jas.shahroodut.ac.ir/?_action=export&rf=summon&issue=92
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2016
3
2
AMENABILITY OF VECTOR VALUED GROUP ALGEBRAS
Ali
Ghaffari
Seyedeh Samaneh
Javadi Syahkale
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∗).
Amenability
banach algebras
derivation
group algebra
invariant mean
2015
10
01
97
107
http://jas.shahroodut.ac.ir/article_610_80140794b33ad022f3303e700e885240.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2016
3
2
IDEALS IN EL-SEMIHYPERGROUPS ASSOCIATED TO ORDERED SEMIGROUPS
S. H.
Ghazavi
S. M.
Anvariyeh
S.
Mirvakili
In this paper, we attempt to investigate the connection between various types of ideals (for examples $(m, n)$-ideal, bi-ideal, interior ideal, quasi ideal, prime ideal and maximal ideal) of an ordered semigroup $(S,cdot ,leq)$ and the correspond hyperideals of its EL-hyperstructure $(S,*)$ (if exists). Moreover, we construct the class of EL-$Gamma$-semihypergroup associated to a partially ordered $Gamma$-semigroup.
(m
n)-ideal
interior ideal
Ends lemma
EL-hyperstructures
2015
01
01
109
125
http://jas.shahroodut.ac.ir/article_611_edab4a829eab96599e8b252cfea28168.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2016
3
2
ON ABSOLUTE CENTRAL AUTOMORPHISMS FIXING THE CENTER ELEMENTWISE
Zahra
Kaboutari Farimani
Mohammad Mehdi
Nasrabadi
Let G be a finite p-group 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 element-wise. Also we classify all groups of orders p^3 and p^4 whose absolute central automorphisms fix the centre element-wise.
absolute centre
absolute central automorphisms
finite p-groups
2015
01
01
127
131
http://jas.shahroodut.ac.ir/article_612_1811e3d5e5fb09d4b5f4e6ce4fb36612.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2016
3
2
ON GRADED LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS
Maryam
Jahangiri
Zohreh
Habibbi
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 $H^{i}_{R_{+},J}(M)$.
graded modules
local cohomology module with respect to a
pair of ideals
Artinian modules
tameness
2015
01
01
133
146
http://jas.shahroodut.ac.ir/article_613_c40acc726617eb0a6a9ca9a12b7a2e55.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2016
3
2
RESULTS ON ALMOST COHEN-MACAULAY MODULES
A.
Mafi
S.
Tabejamaat
Let $(R,underline{m})$ be a commutative Noetherian local ring and $M$ be a non-zero finitely generated $R$-module. We show that if $R$ is almost Cohen-Macaulay and $M$ is perfect with finite projective dimension, then $M$ is an almost Cohen-Macaulay module. Also, we give some necessary and sufficient condition on $M$ to be an almost Cohen-Macaulay module, by using $Ext$ functors.
Almost Cohen-Macaulay modules
Cohen-Macaulay modules
Ext functors
2015
01
01
147
150
http://jas.shahroodut.ac.ir/article_614_d7afaf2c070483f534a968021ba416ea.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2016
3
2
RATIONAL CHARACTER TABLE OF SOME FINITE GROUPS
H.
Shabani
A. R.
Ashrafi
M.
Ghorbani
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.
Rational character table
character table
Galois group
2015
01
01
151
169
http://jas.shahroodut.ac.ir/article_615_def3b04d2ccfdc9937fb673747390703.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2016
3
2
MAGMA-JOINED-MAGMAS: A CLASS OF NEW ALGEBRAIC STRUCTURES
M. H.
Hooshmand
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 two-sided) magma-$e$-magmas are defined in an analogous way.Also, $X$ is magma-joined-magma 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 theirsub-classes are group-$e$-semigroups, loop-$e$-semigroups, semigroup-$e$-quasigroups,etc. A nice infinite [resp. finite] example for them is real group-grouplike $(mathbb{R},+,0,+_1)$ [resp. Klein group-grouplike].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.
08A99
20N02
20M99
20N05
2015
01
01
171
199
http://jas.shahroodut.ac.ir/article_616_129e9f74cb580b363d2f9eb90a41a37f.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2016
3
2
NONNIL-NOETHERIAN MODULES OVER COMMUTATIVE RINGS
A.
Yousefian Darani
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 Nonnil-Noetherian $R$-module if every nonnil submodule of $M$ is finitely generated. We prove that many of the properties of Noetherian modules are also true for Nonnil-Noetherian modules.
Noetherian rings
Noetherian modules, Finitely generated submodules, Divided submodules, Phi-modules
2015
01
01
201
210
http://jas.shahroodut.ac.ir/article_618_ab7aebe1bfa094cd9b11cca2200588f0.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2016
3
2
A SHORT PROOF OF A RESULT OF NAGEL
N.
Shirmohammadi
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.
Linkage
Local cohomology
quasi-Gorenstein module
2015
01
01
211
215
http://jas.shahroodut.ac.ir/article_619_3984f444570261f2e3b6227586b24b67.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2016
3
2
ON THE VANISHING OF DERIVED LOCAL HOMOLOGY MODULES
M.
Hatamkhani
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 Divaani-Aazar cite{HD} for complexes.
Local cohomology modules
local homology modules
magnitude
Noetherian dimension
2015
01
01
217
225
http://jas.shahroodut.ac.ir/article_620_374b709d91ba6ee24f3f79fde8febcf8.pdf