Results 21 to 30 of about 443,027 (142)

Dual Zariski Topology on Comultiplication Modules

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
This paper dealswith dual Zariski topology on comultiplication modules. We define a subspacetopology of dual Zariski topology on comultiplication modules and study someproperties of this subspace topology.
Ortaç Öneş
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Potent Elements and Tight Closure in Artinian Modules. [PDF]

, 2008
In this thesis we develop the theory of potent elements, a new method for studying the question of whether tight closure equals finitistic tight closure for the zero submodule of an arbitrary Artinian module. G. Lyubeznik and K. E.
Stubbs, Joe
core   +6 more sources

A-D3 Modules and A-D4 Modules

Journal of Mathematics, 2023
Let A be a class of some right R-modules that is closed under isomorphisms, and let M be a right R-module. Then M is called A-D3 if, whenever N and K are direct summands of M with M=N+K and M/K∈A, then N∩K is also a direct summand of M; M is called an A ...
Zhanmin Zhu
doaj   +1 more source

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
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A characterization of locally artinian modules

Journal of Algebra, 1990
The starting point for this paper is a well known theorem of Osofsky, namely that a ring R is semiprime Artinian if and only if every cyclic right R-module is injective. At the heart of Osofsky's proof is the observation: if R is a right self-injective von Neumann regular ring and \(\{e_ i:\) \(i\in I\}\) an infinite family of orthogonal idempotents ...
van Huynh, Dinh, Wisbauer, Robert
openaire   +2 more sources

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 SSAGP-injective Rings [PDF]

مجلة التربية والعلم, 2019
In this paper, we investigate some properties of rings whose simple singular right R- modules are A Gp-injective (or SSAGP- injective for short). It is proved that:  Y(R)=0 where R is a right SSAGP- injective rings.
Raida Mahmood, Manal Abd
doaj   +1 more source

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
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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

Artinian Modules over Group Rings

, 2007
Highlights developments on artinian modules over group rings of generalized nilpotent groups. This work includes traditional topics such as direct decompositions of artinian modules, criteria of complementability, and criteria of semisimplicity of ...
Subbotin, Igor Ya, Otal, Javier, Kurdachenko, Leonid   +2 more
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