Results 91 to 100 of about 482,834 (118)

COFINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES

Bulletin of the Australian Mathematical Society, 2011
AbstractLet 𝔞 be an ideal of a Noetherian ring R. Let s be a nonnegative integer and let M and N be two R-modules such that ExtjR(M/𝔞M,Hi𝔞(N)) is finite for all i<s and all j≥0 . We show that HomR (R/𝔞,Hs𝔞(M,N)) is finite provided ExtsR(M/𝔞M,N) is a finite R-module.
Borna, Keivan, Sahandi, Parviz, Yassemi, Siamak   +2 more
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Cofinitely Injective and Projective Modules

2020
In this work, cofinitely injective and cofinitely projective modules are defined. Some properties of cofinitely injective and cofinitely projective modules are investigated. Let N be an R-module. Then every R-module is cofinitely N-injective if and only if every cofinite submodule of N is a direct summand.
Nebiyev, C., Pancar, A.
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On a category of cofinite modules which is Abelian

Mathematische Zeitschrift, 2010
Let \(I\) be an ideal of a commutative noetherian local ring \((R,\mathfrak{m})\) and \(M\) a finitely generated \(R\)-module. In 1968, \textit{A. Grothendieck} [Séminaire de géométrie algébrique: Cohomologie locale des faisceaux cohérents et théoremes de Lefschetz locaux et globaux (1962; Zbl 0159.50402)] has conjectured that \(\Hom_R(R/I,H_{I}^i(M))\)
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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.
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A recent generalization of cofinitely injective modules

2023
Summary: Let \(R\) be an associative ring with identity and \(M\) be a left \(R\)-module. In this paper, we define modules that have the property (\(\delta\)-\(CE\)) ((\(\delta\)-\(CEE\))), these are modules that have a \(\delta\)-supplement (ample \(\delta\)-supplements) in every cofinite extension which are generalized version of modules that have ...
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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
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Cofiniteness of torsion functors of cofinite modules

Colloquium Mathematicum, 2014
Reza Naghipour, Kamal Bahmanpour, Imaneh Khalili Gorji   +2 more
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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.
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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 ...
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Cofinitely G-supplemented Modules

British Journal of Mathematics & Computer Science, 2016
In this work, cofinitely g-supplemented modules are defined and investigated some properties of these modules. It is shown that an arbitrary sum of cofinitely g-supplemented modules is cofinitely g-supplemented. In addition, amply cofinitely g-supplemented modules are also defined and given some equivalences.
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