Some remarks on $u$-$S$-Noetherian and $u$-$S$-coherent rings
Xiaolei Zhang, Wei Qi
Published: 2025/8/29
Abstract
In this paper, we give some new characterizations of $u$-$S$-Noetherian rings and $u$-$S$-coherent rings in terms of uniform $S$-version of injective precovers, flat preenvelopes and absolutely pure modules, respectively. Moreover, we give a negative answer to a question proposed by Bouziri [3].