On (uniformly) $S$-$w$-Noetherian rings and modules
Abstract
Let $R$ be a ring and $S$ a multiplicative subset of $R$. We introduce and study the notions of ($u$-)$S$-$w$-Noetherian modules and ($u$-)$S$-$w$-principal ideal modules. Some characterizations of these new concepts are given.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2023
- DOI:
- arXiv:
- arXiv:2307.10309
- Bibcode:
- 2023arXiv230710309Z
- Keywords:
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- Mathematics - Commutative Algebra
- E-Print:
- arXiv admin note: substantial text overlap with arXiv:2201.07913 by other authors