On (uniformly) S-w-Noetherian rings and modules

Let [Formula: see text] be a commutative ring and [Formula: see text] a multiplicative subset of [Formula: see text]. We introduce and study the notions of ([Formula: see text]-)[Formula: see text]-[Formula: see text]-Noetherian modules and ([Formula: see text]-)[Formula: see text]-[Formula: see text]-principal ideal modules. Some characterizations of these new concepts are given.

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2024-08-23
DOI
https://doi.org/10.1142/s021949882650012x
Primary Topic
Rings, Modules, and Algebras
Type
article
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On (uniformly) S-w-Noetherian rings and modules

Xiaolei Zhang
Journal of Algebra and Its Applications
Rings, Modules, and Algebras
article

On (uniformly) S-w-Noetherian rings and modules

Xiaolei Zhang
article en

Abstract

Let [Formula: see text] be a commutative ring and [Formula: see text] a multiplicative subset of [Formula: see text]. We introduce and study the notions of ([Formula: see text]-)[Formula: see text]-[Formula: see text]-Noetherian modules and ([Formula: see text]-)[Formula: see text]-[Formula: see text]-principal ideal modules. Some characterizations of these new concepts are given.

Journal of Algebra and Its ApplicationsVol. 25(05)
Shandong University of Technology (CN), Tianshui Normal University (CN)
Reduced inequalities
Openalex Percentile: Top 74%
Rings, Modules, and Algebras
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On (uniformly) S-w-Noetherian rings and modules — Xiaolei Zhang · Journal of Algebra and Its Applications (2024) | TGRS Research Map | TGRS