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ON COFINITELY LIFTING MODULES

Journal of Science and Technology - IUH
In this paper we define cofinitely lifting module as generalizations of lifting and supplemented modules. In this paper, new characterizations of these modules are obtained and several properties of this module are proved.
openaire   +1 more source

Cofiniteness of torsion functors of cofinite modules

Colloquium Mathematicum, 2014
Reza Naghipour   +2 more
openaire   +1 more source

Cofinitely supplemented modules

2021
ÖZET Bu tezde dual sonlu bütünleşmiş modül tanımlandı ve `Dual sonlu Bütünleşmiş Modüllerin keyfi toplamının yine Dual sonlu` olduğu veya, `bir M modülünün her maksimal alt modülünün bütünleştiricisi vardır ancak ve ancak her dual sonlu altmodülün bütünleştiricisi vardır.` Yine ` R yanmükemmeldir ancak ve ancak her R modülü sonlu bütünleşmiştir.
openaire   +1 more source

Cofinitely ⊕-essential supplemented modules

Journal of Algebra and Its Applications
In this paper, cofinitely ⊕-essential supplemented (cofinitely ⊕-e-supplemented) modules are defined and some properties of these modules are investigated. We prove that the finite direct sum of cofinitely ⊕-essential supplemented modules is also cofinitely ⊕-essential supplemented.
Aysenur Geyik, Ayten Pekin
openaire   +1 more source

Generalized Cofinitely Semiperfect Modules

2008
In the present paper, we define generalized (amply) cofinitely supplemented modules, and generalized ⊕-cofinitely supplemented modules are defined as a generalization of (amply) cofinitely supplemented modules and ⊕-cofinitely supplemented modules, respectively, and show, among others, the following results: (1) The class of generalized cofinitely ...
openaire   +2 more sources

Cofiniteness of torsion functors of a pair of cofinite modules (II)

Communications in Algebra, 2023
Kamal Bahmanpour
exaly  

Totally Cofinitely Supplemented Modules

2007
It is proved that, over a Dedekind domain, a module is torsion if and only if every submodule is cofinitely supplemented.
openaire   +2 more sources

Cofinitely eg-Supplemented Modules

2020
Let M be an R-module. If every cofinite essential submodule of M has a g-supplement in M, then M is called a cofinitely essential g-supplemented (or briefly cofinitely eg-supplemented) module. In this work, some properties of these modules are investigated.
NEBİYEV, Celil, ÖKTEN, Hasan Hüseyin
openaire   +1 more source

On Cofinitely Injective Modules

Journal of the London Mathematical Society, 1978
openaire   +1 more source

Abelian Category of Weakly Cofinite Modules and Local Cohomology

Bulletin of the Iranian Mathematical Society, 2020
Moharram Aghapournahr
exaly  

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