English

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

Commutative Algebra 2024-12-17 v3

Abstract

Let RR be a ring and SS a multiplicative subset of RR. We introduce and study the notions of (uu-)SS-ww-Noetherian modules and (uu-)SS-ww-principal ideal modules. Some characterizations of these new concepts are given.

Keywords

Cite

@article{arxiv.2307.10309,
  title  = {On (uniformly) $S$-$w$-Noetherian rings and modules},
  author = {Xiaolei Zhang},
  journal= {arXiv preprint arXiv:2307.10309},
  year   = {2024}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2201.07913 by other authors

R2 v1 2026-06-28T11:35:08.564Z