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: 202
UPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES
Volume 1, Issue 1 , September 2013, , Pages 1-9
Abstract
Let $R$ be a commutative Noetherian ring with non-zero identity and $a$ an ideal of $R$. Let $M$ be a finite $R$--moduleof finite projective dimension and $N$ an arbitrary finite $R$--module. We characterize the membership of the generalized local cohomology modules $H^{i}_{a}(M,N)$ in certain Serre ... Read MoreON COMULTIPLICATION AND R-MULTIPLICATION MODULES
Volume 2, Issue 1 , September 2014, , Pages 1-19
Abstract
We state several conditions under which comultiplication and weak comultiplication modules are cyclic and study strong comultiplication modules and comultiplication rings. In particular, we will show that every faithful weak comultiplication module having a maximal submodule over a reduced ring with ... Read MoreTHE CONCEPT OF (I; J)-COHEN MACAULAY MODULES
Volume 3, Issue 1 , September 2015, , Pages 1-10
Abstract
We introduce a generalization of the notion of depth of an ideal on a module by applying the concept of local cohomology modules with respect to a pair of ideals. We also introduce the concept of $(I,J)$-Cohen--Macaulay modules as a generalization of concept of Cohen--Macaulay ... Read MoreON RELATIVE CENTRAL EXTENSIONS AND COVERING PAIRS
Volume 4, Issue 1 , September 2016, , Pages 1-13
Abstract
Let (G;N) be a pair of groups. In this article, first we con-struct a relative central extension for the pair (G;N) such that specialtypes of covering pair of (G;N) are homomorphic image of it. Second, weshow that every perfect pair admits at least one covering pair. Finally,among extending some properties ... Read MoreMOST RESULTS ON A-IDEALS IN MV -MODULES
Volume 5, Issue 1 , September 2017, , Pages 1-13
Abstract
In the present paper, by considering the notion of MV-modules which is the structure that naturally correspond to lu-modules over lu-rings, we prove some results on prime A-ideals and state some conditions to obtain a prime A-ideal in MV-modules. Also, we state some conditions that an A-ideal is not ... Read MoreMAXIMAL PRYM VARIETY AND MAXIMAL MORPHISM
Volume 6, Issue 1 , September 2018, , Pages 1-12
Abstract
We investigated maximal Prym varieties on finite fields by attaining their upper bounds on the number of rational points. This concept gave us a motivation for defining a generalized definition of maximal curves i.e. maximal morphisms. By MAGMA, we give some non-trivial examples of maximal morphisms ... Read MoreBAER AND QUASI-BAER PROPERTIES OF SKEW PBW EXTENSIONS
Volume 7, Issue 1 , September 2019, , Pages 1-24
Abstract
A ring $R$ with an automorphism $\sigma$ and a $\sigma$-derivation $\delta$ is called $\delta$-quasi-Baer (resp., $\sigma$-invariant quasi-Baer) if the right annihilator of every $\delta$-ideal (resp., $\sigma$-invariant ideal) of $R$ is generated by an idempotent, as a right ideal. In this paper, we ... Read MoreMULTIPLICATION MODULES THAT ARE FINITELY GENERATED
Volume 8, Issue 1 , September 2020, , Pages 1-5
Abstract
Let $R$ be a commutative ring with identity and $M$ be a unitary $R$-module. An $R$-module $M$ is called a multiplication module if for every submodule $N$ of $M$ there exists an ideal $I$ of $R$ such that $N = IM$. It is shown that over a Noetherian domain $R$ with dim$(R)\leq 1$, multiplication modules ... Read MoreSOME RESULTS ON STRONGLY PRIME SUBMODULES
Volume 1, Issue 2 , January 2014, , Pages 79-89
Abstract
Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. A proper submodule $P$ of $M$ is called strongly prime submodule if $(P + Rx : M)y P$ for $x, y M$, implies that $x P$ or $y P$. In this paper, we study more properties of strongly prime submodules. It is shown that a ... Read MoreON THE SPECTRUM OF DERANGEMENT GRAPHS OF ORDER A PRODUCT OF THREE PRIMES
Volume 6, Issue 2 , January 2019, , Pages 81-89
Abstract
A permutation with no fixed points is called a derangement. The subset $\mathcal{D}$ of a permutation group is derangement if all elements of $\mathcal{D}$ are derangement. Let $G$ be a permutation group, a derangementgraph is one with vertex set $G$ and derangement set $\mathcal{D}$ as connecting ... Read MoreASSOCIATED (SEMI)HYPERGROUPS FROM DUPLEXES
Volume 2, Issue 2 , January 2015, , Pages 83-96
Abstract
In this paper using strongly duplexes we introduce a new class of (semi)hypergroups. The associated (semi)hypergroup from a strongly duplex is called duplex (semi)hypergroup. Two computer programs written in MATLAB show that the two groups $Z_{2n}$ and $Z_{n}times Z_{2}$ produce a strongly duplex and ... Read MoreFINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES
Volume 4, Issue 2 , January 2017, , Pages 85-95
Abstract
Let G be a finite group and Z(G) be the center of G. For a subset A of G, we define kG(A), the number of conjugacy classes of G that intersect A non-trivially. In this paper, we verify the structure of all finite groups G which satisfy the property ... Read MoreA COVERING PROPERTY IN PRINCIPAL BUNDLES
Volume 5, Issue 2 , January 2018, , Pages 91-98
Abstract
Let $p:X\lo B$ be a locally trivial principal G-bundle and $\wt{p}:\wt{X}\lo B$ be a locally trivial principal $\wt{G}$-bundle. In this paper, by using the structure of principal bundles according to transition functions, we show that $\wt{G}$ is a covering group of $G$ if and only if $\wt{X}$ is a covering ... Read MoreAMENABILITY 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 MoreSOME RESULTS ON THE COMPLEMENT OF THE INTERSECTION GRAPH OF SUBGROUPS OF A FINITE GROUP
Volume 7, Issue 2 , January 2020, , Pages 105-130
Abstract
Let G be a group. Recall that the intersection graph of subgroups of G is an undirected graph whose vertex set is the set of all nontrivial subgroups of G and distinct vertices H,K are joined by an edge in this graph if and only if the intersection of H and K is nontrivial. The aim of this article is ... Read MoreCLASSICAL 2-ABSORBING SECONDARY SUBMODULES
Volume 8, Issue 1 , September 2020, , Pages 7-15
Abstract
In this work, we introduce the concept of classical 2-absorbing secondary modules over a commutative ring as a generalization of secondary modules and investigate some basic properties of this class of modules. Let $R$ be a commutative ring withidentity. We ... Read Moref-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS
Volume 1, Issue 1 , September 2013, , Pages 11-31
Abstract
Recently, the algebraic theory of MV -algebras is intensively studied. In this paper, we extend the concept of derivation of $MV$-algebras and we give someillustrative examples. Moreover, as a generalization of derivations of $MV$ -algebraswe introduce the notion of $f$-derivations and $(f; g)$-derivations ... Read MoreAN INTEGRAL DEPENDENCE IN MODULES OVER COMMUTATIVE RINGS
Volume 3, Issue 1 , September 2015, , Pages 11-22
Abstract
In this paper, we give a generalization of the integral dependence from rings to modules. We study the stability of the integral closure with respect to various module theoretic constructions. Moreover, we introduce the notion of integral extension of a module and prove the Lying over, Going up and Going ... Read MoreSIGNED GENERALIZED PETERSEN GRAPH AND ITS CHARACTERISTIC POLYNOMIAL
Volume 6, Issue 1 , September 2018, , Pages 13-28
Abstract
Let G^s be a signed graph, where G = (V;E) is the underlying simple graph and s : E(G) to {+, -} is the sign function on E(G). In this paper, we obtain k-th signed spectral moment and k-th signed Laplacian spectral moment of Gs together with coefficients of their signed characteristic polynomial and ... Read MoreSOME REMARKS ON GENERALIZATIONS OF MULTIPLICATIVELY CLOSED SUBSETS
Volume 4, Issue 1 , September 2016, , Pages 15-27
Abstract
Let R be a commutative ring with identity and Mbe a unitary R-module. In this paper we generalize the conceptmultiplicatively closed subset of R and we study some propertiesof these genaralized subsets of M. Among the many results in thispaper, we generalize some well-known theorems about multiplicativelyclosed ... Read MoreAN INDUCTIVE FUZZY DIMENSION
Volume 5, Issue 1 , September 2017, , Pages 15-25
Abstract
Using a system of axioms among with a modified definition of boundary on the basis of the intuitionistic fuzzy sets, we formulate an inductive structure for the dimension of fuzzy spaces which has been defined by Coker. This new definition of boundary allows to characterize an intuitionistic fuzzy clopen ... Read MoreDIFFERENTIAL MULTIPLICATIVE HYPERRINGS
Volume 2, Issue 1 , September 2014, , Pages 21-35
Abstract
There are several kinds of hyperrings, for example, Krasnerhyperrings, multiplicative hyperring, general hyperrings and$H_v$-rings. In a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation. In this paper, the notion of derivation on multiplicative ... Read MoreCOTORSION DIMENSIONS OVER GROUP RINGS
Volume 7, Issue 1 , September 2019, , Pages 25-32
Abstract
Let $\Gamma$ be a group, $\Gamma'$ a subgroup of $\Gamma$ with finite index and $M$ be a $\Gamma$-module. We show that $M$ is cotorsion if and only if it is cotorsion as a $\Gamma'$-module. Using this result, we prove that the global cotorsion dimensions of rings $Z\Gamma$ and $Z\Gamma'$ are equal. Read MoreA NEW PROOF OF THE PERSISTENCE PROPERTY FOR IDEALS IN DEDEKIND RINGS AND PR¨UFER DOMAINS
Volume 1, Issue 2 , January 2014, , Pages 91-100
Abstract
In this paper, by using elementary tools of commutative algebra, we prove the persistence property for two especial classes of rings. In fact, this paper has two main sections. In the first main section, we let $R$ be a Dedekind ring and $I$ be a proper ideal of $R$. We prove that if $I_1,\ldots,I_n$ ... Read MoreOn $\alpha $-semi-Short Modules
Volume 6, Issue 2 , January 2019, , Pages 91-99