论文标题

在均匀的$ s $ - coherent戒指上

On uniformly $S$-coherent rings

论文作者

Zhang, Xiaolei

论文摘要

在本文中,我们介绍并研究了均匀$ s $的概念,并概述$ s $ s $ - coherent Rings(模块),这些戒指(模块)是($ c $ - )$ s $的“均匀”版本,以下是($ s $),以下是($ c $ s $)的模块和($ c $ s $ s $ s $ - coherent rings($ s $ coherent rings rings)。在结果中,获得了Chase的结果,Chase定理和Matlis定理的均匀分配。

In this paper, we introduce and study the notions of uniformly $S$-finitely presented modules and uniformly $S$-coherent rings (modules) which are "uniform" versions of ($c$-)$S$-finitely presented modules and ($c$-)$S$-coherent rings (modules) introduced by Bennis and Hajoui \cite{bh18}. Among the results, uniformly $S$-versions of Chase's result, Chase Theorem and Matlis Theorem are obtained.

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