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arXiv · 2111.02221

Semi-regular flat modules over strong Pr\"{u}fer rings

Xiaolei Zhang·Guocheng Dai·Xuelian Xiao·Wei Qi
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Abstract

We first introduce and study the notion of semi-regular flat modules, and then show that a ring $R$ is a strong \Prufer\ ring if and only if every submodule of a semi-regular flat $R$-module is semi-regular flat, if and only if every ideal of $R$ is semi-regular flat, if and only if every $R$-module has a surjective semi-regular flat (pre)envelope.

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Xiaolei Zhang, Guocheng Dai, Xuelian Xiao, Wei Qi. 2021-11-03. Semi-regular flat modules over strong Pr\"{u}fer rings. https://arxiv.org/abs/2111.02221

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