Results 101 to 110 of about 571,712 (128)

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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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 ...
openaire   +1 more source

On the cofiniteness of local cohomology modules

2022
Summary: Let \(R\) be a commutative Noetherian ring with identity, \(I\) be an ideal of \(R\) and \(M\) be an \(R\)-module such that \(\mathrm{Ext}^j_R(R/I, M)\) is finitely generated for all \(j\). We prove that if \(\dim H^i_I(M)\leq 1\) for all \(i\), then for any \(i\geq 0\) and for any submodule \(N\) of \(H^i_I(M)\) that is either \(I\)-cofinite ...
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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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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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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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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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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.
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