@Article{Ghaffari2015,
author="Ghaffari, Ali
and Javadi Syahkale, Seyedeh Samaneh",
title="AMENABILITY OF VECTOR VALUED GROUP ALGEBRAS",
journal="Journal of Algebraic Systems",
year="2015",
volume="3",
number="2",
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, A∗), LUC(G, A∗), WAP(G, A∗) and C0(G, A∗).",
issn="2345-5128",
doi="10.22044/jas.2015.610",
url="http://jas.shahroodut.ac.ir/article_610.html"
}
@Article{Ghazavi2015,
author="Ghazavi, S. H.
and Anvariyeh, S. M.
and Mirvakili, S.",
title="IDEALS IN EL-SEMIHYPERGROUPS ASSOCIATED TO ORDERED SEMIGROUPS",
journal="Journal of Algebraic Systems",
year="2015",
volume="3",
number="2",
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). Moreover, we construct the class of EL-$Gamma$-semihypergroup associated to a partially ordered $Gamma$-semigroup.",
issn="2345-5128",
doi="10.22044/jas.2015.611",
url="http://jas.shahroodut.ac.ir/article_611.html"
}
@Article{KaboutariFarimani2015,
author="Kaboutari Farimani, Zahra
and Nasrabadi, Mohammad Mehdi",
title="ON ABSOLUTE CENTRAL AUTOMORPHISMS FIXING THE CENTER ELEMENTWISE",
journal="Journal of Algebraic Systems",
year="2015",
volume="3",
number="2",
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 central automorphisms fix the centre element-wise.",
issn="2345-5128",
doi="10.22044/jas.2015.612",
url="http://jas.shahroodut.ac.ir/article_612.html"
}
@Article{Jahangiri2015,
author="Jahangiri, Maryam
and Habibbi, Zohreh",
title="ON GRADED LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS",
journal="Journal of Algebraic Systems",
year="2015",
volume="3",
number="2",
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. $H^{i}_{R_{+},J}(M)$. 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 $H^{i}_{R_{+},J}(M)$.",
issn="2345-5128",
doi="10.22044/jas.2015.613",
url="http://jas.shahroodut.ac.ir/article_613.html"
}
@Article{Mafi2015,
author="Mafi, A.
and Tabejamaat, S.",
title="RESULTS ON ALMOST COHEN-MACAULAY MODULES",
journal="Journal of Algebraic Systems",
year="2015",
volume="3",
number="2",
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 condition on $M$ to be an almost Cohen-Macaulay module, by using $\Ext$ functors.",
issn="2345-5128",
doi="10.22044/jas.2015.614",
url="http://jas.shahroodut.ac.ir/article_614.html"
}
@Article{Shabani2015,
author="Shabani, H.
and Ashrafi, A. R.
and Ghorbani, M.",
title="RATIONAL CHARACTER TABLE OF SOME FINITE GROUPS",
journal="Journal of Algebraic Systems",
year="2015",
volume="3",
number="2",
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 group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational character tables are also considered into account.",
issn="2345-5128",
doi="10.22044/jas.2015.615",
url="http://jas.shahroodut.ac.ir/article_615.html"
}
@Article{Hooshmand2015,
author="Hooshmand, M. H.",
title="MAGMA-JOINED-MAGMAS: A CLASS OF NEW ALGEBRAIC STRUCTURES",
journal="Journal of Algebraic Systems",
year="2015",
volume="3",
number="2",
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), $ein X$ 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.",
issn="2345-5128",
doi="10.22044/jas.2015.616",
url="http://jas.shahroodut.ac.ir/article_616.html"
}
@Article{YousefianDarani2015,
author="Yousefian Darani, A.",
title="NONNIL-NOETHERIAN MODULES OVER COMMUTATIVE RINGS",
journal="Journal of Algebraic Systems",
year="2015",
volume="3",
number="2",
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 submodule of $M$ is finitely generated. We prove that many of the properties of Noetherian modules are also true for Nonnil-Noetherian modules.",
issn="2345-5128",
doi="10.22044/jas.2015.618",
url="http://jas.shahroodut.ac.ir/article_618.html"
}
@Article{Shirmohammadi2015,
author="Shirmohammadi, N.",
title="A SHORT PROOF OF A RESULT OF NAGEL",
journal="Journal of Algebraic Systems",
year="2015",
volume="3",
number="2",
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.",
issn="2345-5128",
doi="10.22044/jas.2015.619",
url="http://jas.shahroodut.ac.ir/article_619.html"
}
@Article{Hatamkhani2015,
author="Hatamkhani, M.",
title="ON THE VANISHING OF DERIVED LOCAL HOMOLOGY MODULES",
journal="Journal of Algebraic Systems",
year="2015",
volume="3",
number="2",
pages="217-225",
abstract="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.",
issn="2345-5128",
doi="10.22044/jas.2015.620",
url="http://jas.shahroodut.ac.ir/article_620.html"
}