Commutative noetherian rings and modules

Results 111 to 120 of about 783 (126)

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Nonnil-Noetherian modules over commutative rings

2015
Summary: In this paper we introduce a new class of modules which is closely related to the class of Noetherian modules. Let \(R\) be a commutative ring with identity and let \(M\) be an \(R\)-module such that \(\mathrm{Nil}(M)\) is a divided prime submodule of \(M\). \(M\) is called a nonnil-Noetherian \(R\)-module if every nonnil submodule of \(M\) is
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COMMUTATIVE RINGS AND MODULES THAT ARE r-NOETHERIAN

2022
In this paper, we introduce and investigate a new class of modules that is closely related to the class of Noetherian modules. Let R be a commutative ring and M be an R-module. We say that M is an r-Noetherian module if every r-submodule of M is finitely generated. Also, we call the ring R to be an r-Noetherian ring if R is an r-Noetherian R-module, or
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Some Properties of Commutative Noetherian Rings and Modules

The investigation of Noetherian rings has drawn the attention of many scientists. In a recent investigation, Kosan and Quynh explored novel properties of Noetherian rings, especially as they relate to the fundamental extended and the direct sum of the injecting shells of basic right modules.
Raghad I.zidan, Rouaa S. Μohammed
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Analytic Independence of an Ideal Relative to Certain Injective Module Over a Commutative Noetherian Ring

Southeast Asian Bulletin of Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Introduction to Auslander-Bridger theory for unbounded projective complexes over commutative Noetherian rings

2021
Yuji Yoshino
exaly

Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring