Semi-regular flat modules over strong Pr\"{u}fer rings
Commutative Algebra
2021-11-04 v1
Abstract
We first introduce and study the notion of semi-regular flat modules, and then show that a ring is a strong \Prufer\ ring if and only if every submodule of a semi-regular flat -module is semi-regular flat, if and only if every ideal of is semi-regular flat, if and only if every -module has a surjective semi-regular flat (pre)envelope.
Cite
@article{arxiv.2111.02221,
title = {Semi-regular flat modules over strong Pr\"{u}fer rings},
author = {Xiaolei Zhang and Guocheng Dai and Xuelian Xiao and Wei Qi},
journal= {arXiv preprint arXiv:2111.02221},
year = {2021}
}