新版 P 平面模块及其应用

arXiv - MATH - Commutative Algebra Pub Date : 2024-07-25 DOI:arxiv-2407.17865

Wei Qi, Xiaolei Zhang

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引用次数: 0

摘要

在本文中，我们介绍并研究了$\phi$-$w$-P-flat 模块类，它们可以看作是$\phi$-P-flat 模块和$w$-P-flat 模块的一般化。特别是，我们得到$\phi$-$w$-P-flat 模块的类是覆盖的。我们还利用$\phi$-$w$-P-flat模块类来描述$\phi$-冯-诺依曼正则环、强$\phi$环和$\phi$-PvMRs。

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A new version of P-flat modules and its applications

In this paper, we introduce and study the class of $\phi$-$w$-P-flat modules, which can be seen as generalizations of both $\phi$-P-flat modules and $w$-P-flat modules. In particular, we obtain that the class of $\phi$-$w$-P-flat modules is covering. We also utilize the class of $\phi$-$w$-P-flat modules to characterize $\phi$-von Neumann regular rings, strong $\phi$-rings and $\phi$-PvMRs.

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arXiv - MATH - Commutative Algebra

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