Results 21 to 30 of about 600,300 (198)

Locally Artinian Supplemented Modules [PDF]

, 2020
In this paper, we introduce notions of RLA-local modules and locally artinian supplemented modules which are proper generalizations as notions of strongly local modules and ss-supplemented modules, respectively and we study some properties of these module. In particular, we give a characterization of semi perfect rings and left perfect rings.
BURCU TURKMEN, Yavuz Şahin
openaire   +1 more source

ON GENERALIZATIONS OF LOCALLY ARTINIAN SUPPLEMENTED MODULES

, 2021
The aim of this paper is to investigate generalizations of locally artinian supplemented modules in module theory, namely locally artinian radical supplemented modules and strongly locally artinian radical supplemented modules.
Burcu NİŞANCI TÜRKMEN, Türkmen, Burcu Nişancı   +1 more
core   +1 more source

CHARACTERIZATION THEOREMS OF S-ARTINIAN MODULES

, 2021
A module X over a commutative ring A is called S-Artinian, where S is a given multiplicatively closed subset of A, if every descending chain of sub-modules of X is S-stationary.
Unsal Tekir, Kar Ping Shum, OsamaA. Naji, Mehmet Özen   +3 more
core   +1 more source

SOME RESULTS ON STRONGLY PRIME SUBMODULES [PDF]

Journal of Algebraic Systems, 2014
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 $(P + Rx : M)ysubseteq P$ for $x, yin M$, implies that $xin P$ or $yin P$.
Alireza Naghipour
doaj   +1 more source

The Relationships between Relatively Cancellation Modules and Certain Types of Modules

مجلة بغداد للعلوم, 2011
Let R be a commutative ring with identity and M be unitary (left) R-module. The principal aim of this paper is to study the relationships between relatively cancellation module and multiplication modules, pure submodules and Noetherian (Artinian) modules.
Baghdad Science Journal
doaj   +1 more source

On formal local homology modules [PDF]

Journal of Hyperstructures, 2015
Throughout R is a commutative Noetherian ring and a an ideal of R. In this paper we study formal homology modules of Artinian R-modules. We obtain an expression of the formal homology in terms of a certain local homology module.
M.H. Bijan-Zadeh
doaj   +1 more source

ARTINIANNESS OF LOCAL COHOMOLOGY MODULES OF ZD-MODULES [PDF]

Communications in Algebra, 2005
This paper centers around Artinianness of the local cohomology of $ZD$-modules. Let $\fa$ be an ideal of a commutative Noetherian ring $R$. The notion of $\fa$-relative Goldie dimension of an $R$-module $M$, as a generalization of that of Goldie dimension is presented.
Divaani-Aazar, Kamran, Esmkhani, Mohammad Ali   +1 more
openaire   +2 more sources

ON TYPE KRULL DIMENSION OF MODULES [PDF]

Journal of Algebraic Systems
In this paper, the concept of type Krull dimension of a module is introduced and some related properties are investigated.Using this concept, we extend some basic results about modules with Krull dimension.
Nasrin Shirali, Hooriya Kavoosi Ghafi, Sayed Malek Javdannezhad   +2 more
doaj   +1 more source

On semi-artinian V-modules

Journal of Pure and Applied Algebra, 1992
The starting point of this paper is the fact that, as a consequence of a theorem of \textit{B. L. Osofsky} and \textit{P. F. Smith} [J. Algebra 139, 342-354 (1991; Zbl 0737.16001)], a right \(R\)-module \(M\) (over an arbitrary ring \(R\)) is semisimple if and only if every cyclic subquotient of \(M\) is \(M\)-injective.
Dung, Nguyen V., Smith, Patrick F.
openaire   +2 more sources

On modules satisfying the descending chain condition on r-submodules

, 2021
Let R be a commutative ring with nonzero identity and M be an R-module. In this paper, we introduce the concept of r-Artinian modules which is a new generalization of Artinian modules.
TEKİR, ÜNSAL, Ünsal Tekir, Adam Anebri, Najib Mahdou   +3 more
core   +1 more source