@article {
author = {Ghaffari, Ali and Javadi Syahkale, Seyedeh Samaneh},
title = {AMENABILITY OF VECTOR VALUED GROUP ALGEBRAS},
journal = {Journal of Algebraic Systems},
volume = {3},
number = {2},
pages = {97-107},
year = {2015},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2015.610},
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∗).},
keywords = {Amenability,banach algebras,derivation,group algebra,invariant mean},
url = {http://jas.shahroodut.ac.ir/article_610.html},
eprint = {http://jas.shahroodut.ac.ir/article_610_80140794b33ad022f3303e700e885240.pdf}
}
@article {
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},
volume = {3},
number = {2},
pages = {109-125},
year = {2015},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2015.611},
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.},
keywords = {(M,n)-ideal,interior ideal,Ends lemma,EL-hyperstructures},
url = {http://jas.shahroodut.ac.ir/article_611.html},
eprint = {http://jas.shahroodut.ac.ir/article_611_edab4a829eab96599e8b252cfea28168.pdf}
}
@article {
author = {Kaboutari Farimani, Z. and Nasrabadi, M. M.},
title = {ON ABSOLUTE CENTRAL AUTOMORPHISMS FIXING THE CENTER ELEMENTWISE},
journal = {Journal of Algebraic Systems},
volume = {3},
number = {2},
pages = {127-131},
year = {2015},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2015.612},
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.},
keywords = {Absolute centre,absolute central automorphisms,finite p-groups},
url = {http://jas.shahroodut.ac.ir/article_612.html},
eprint = {http://jas.shahroodut.ac.ir/article_612_1811e3d5e5fb09d4b5f4e6ce4fb36612.pdf}
}
@article {
author = {Jahangiri, M. and Habibi, Z.},
title = {ON GRADED LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS},
journal = {Journal of Algebraic Systems},
volume = {3},
number = {2},
pages = {133-146},
year = {2015},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2015.613},
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 $H^{i}_{R_{+},J}(M)$.},
keywords = {graded modules,local cohomology module with respect to a
pair of ideals,Artinian modules,tameness},
url = {http://jas.shahroodut.ac.ir/article_613.html},
eprint = {http://jas.shahroodut.ac.ir/article_613_c40acc726617eb0a6a9ca9a12b7a2e55.pdf}
}
@article {
author = {Mafi, A. and Tabejamaat, S.},
title = {RESULTS ON ALMOST COHEN-MACAULAY MODULES},
journal = {Journal of Algebraic Systems},
volume = {3},
number = {2},
pages = {147-150},
year = {2015},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2015.614},
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.},
keywords = {Almost Cohen-Macaulay modules,Cohen-Macaulay modules,Ext functors},
url = {http://jas.shahroodut.ac.ir/article_614.html},
eprint = {http://jas.shahroodut.ac.ir/article_614_d7afaf2c070483f534a968021ba416ea.pdf}
}
@article {
author = {Shabani, H. and Ashrafi, A. R. and Ghorbani, M.},
title = {RATIONAL CHARACTER TABLE OF SOME FINITE GROUPS},
journal = {Journal of Algebraic Systems},
volume = {3},
number = {2},
pages = {151-169},
year = {2015},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2015.615},
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.},
keywords = {Rational character table,character table,Galois group},
url = {http://jas.shahroodut.ac.ir/article_615.html},
eprint = {http://jas.shahroodut.ac.ir/article_615_def3b04d2ccfdc9937fb673747390703.pdf}
}
@article {
author = {Hooshmand, M. H.},
title = {MAGMA-JOINED-MAGMAS: A CLASS OF NEW ALGEBRAIC STRUCTURES},
journal = {Journal of Algebraic Systems},
volume = {3},
number = {2},
pages = {171-199},
year = {2015},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2015.616},
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.},
keywords = {08A99,20N02,20M99,20N05},
url = {http://jas.shahroodut.ac.ir/article_616.html},
eprint = {http://jas.shahroodut.ac.ir/article_616_129e9f74cb580b363d2f9eb90a41a37f.pdf}
}
@article {
author = {Yousefian Darani, A.},
title = {NONNIL-NOETHERIAN MODULES OVER COMMUTATIVE RINGS},
journal = {Journal of Algebraic Systems},
volume = {3},
number = {2},
pages = {201-210},
year = {2015},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2015.618},
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.},
keywords = {Noetherian rings,Noetherian modules, Finitely generated submodules, Divided submodules, Phi-modules},
url = {http://jas.shahroodut.ac.ir/article_618.html},
eprint = {http://jas.shahroodut.ac.ir/article_618_ab7aebe1bfa094cd9b11cca2200588f0.pdf}
}
@article {
author = {Shirmohammadi, N.},
title = {A SHORT PROOF OF A RESULT OF NAGEL},
journal = {Journal of Algebraic Systems},
volume = {3},
number = {2},
pages = {211-215},
year = {2015},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2015.619},
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.},
keywords = {Linkage,Local cohomology,quasi-Gorenstein module},
url = {http://jas.shahroodut.ac.ir/article_619.html},
eprint = {http://jas.shahroodut.ac.ir/article_619_3984f444570261f2e3b6227586b24b67.pdf}
}
@article {
author = {Hatamkhani, M.},
title = {ON THE VANISHING OF DERIVED LOCAL HOMOLOGY MODULES},
journal = {Journal of Algebraic Systems},
volume = {3},
number = {2},
pages = {217-225},
year = {2015},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2015.620},
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.},
keywords = {Local cohomology modules,local homology modules,magnitude,Noetherian dimension},
url = {http://jas.shahroodut.ac.ir/article_620.html},
eprint = {http://jas.shahroodut.ac.ir/article_620_374b709d91ba6ee24f3f79fde8febcf8.pdf}
}