A note on $S$-flat preenvelopes
Commutative Algebra
2024-08-21 v1
Abstract
In this note, we investigate the notion of -flat preenvelopes of modules. In particular, we give an example that a ring being coherent does not imply that every -module have an -flat preenvelope, giving a negative answer to the question proposed by Bennis and Bouziri \cite{BB24}. Besides, we also show that is a coherent ring also does not imply that is an -coherent ring in general.
Keywords
Cite
@article{arxiv.2408.10523,
title = {A note on $S$-flat preenvelopes},
author = {Xiaolei Zhang},
journal= {arXiv preprint arXiv:2408.10523},
year = {2024}
}