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.

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