Volume 11 (2023-2024)
Volume 10 (2022-2023)
Volume 9 (2021-2022)
Volume 8 (2020-2021)
Volume 7 (2019-2020)
Volume 6 (2018-2019)
Volume 5 (2017-2018)
Volume 4 (2016-2017)
Volume 3 (2015-2016)
Volume 2 (2014-2015)
Volume 1 (2013-2014)
Number of Articles: 10
AMENABILITY OF VECTOR VALUED GROUP ALGEBRAS
Volume 3, Issue 2 , January 2016, Pages 97-107
Abstract
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, ... Read MoreIDEALS IN EL-SEMIHYPERGROUPS ASSOCIATED TO ORDERED SEMIGROUPS
Volume 3, Issue 2 , January 2016, Pages 109-125
Abstract
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). ... Read MoreON ABSOLUTE CENTRAL AUTOMORPHISMS FIXING THE CENTER ELEMENTWISE
Volume 3, Issue 2 , January 2016, Pages 127-131
Abstract
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 ... Read MoreON GRADED LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS
Volume 3, Issue 2 , January 2016, Pages 133-146
Abstract
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. $H^{i}_{R_{+},J}(M)$. ... Read MoreRESULTS ON ALMOST COHEN-MACAULAY MODULES
Volume 3, Issue 2 , January 2016, Pages 147-150
Abstract
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 ... Read MoreRATIONAL CHARACTER TABLE OF SOME FINITE GROUPS
Volume 3, Issue 2 , January 2016, Pages 151-169
Abstract
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 ... Read MoreMAGMA-JOINED-MAGMAS: A CLASS OF NEW ALGEBRAIC STRUCTURES
Volume 3, Issue 2 , January 2016, Pages 171-199
Abstract
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), ... Read MoreNONNIL-NOETHERIAN MODULES OVER COMMUTATIVE RINGS
Volume 3, Issue 2 , January 2016, Pages 201-210
Abstract
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 ... Read MoreA SHORT PROOF OF A RESULT OF NAGEL
Volume 3, Issue 2 , January 2016, Pages 211-215
Abstract
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. Read MoreON THE VANISHING OF DERIVED LOCAL HOMOLOGY MODULES
Volume 3, Issue 2 , January 2016, Pages 217-225