On S-(h-)divisible modules and their S-strongly flat covers
Commutative Algebra
2025-09-03 v1
Abstract
It was proved in [3] that every h-divisible modules admits an strongly flat cover over all integral domains; and every divisible module over an integral domain R admits a strongly flat cover if and only if R is a Matlis domain. In this paper, we extend these two results to commutative rings with multiplicative subsets.
Cite
@article{arxiv.2509.01045,
title = {On S-(h-)divisible modules and their S-strongly flat covers},
author = {Xiaolei Zhang},
journal= {arXiv preprint arXiv:2509.01045},
year = {2025}
}