Weakly $I$-Semiregular Rings and $I$-Semiregular Rings

Authors

  • Zhanmin Zhu Department of Mathematics, Jiaxing University, Jiaxing 314001, China

DOI:

https://doi.org/10.4208/jms.v54n4.21.09

Keywords:

Weakly $I$-semiregular rings, $I$-semiregular rings, $n$-injective modules, $n$-flat modules, ($m$, $n$)-injective modules.

Abstract

Let $I$ be an ideal of a ring $R$. We call $R$ weakly $I$-semiregular if $R$/$I$ is a von Neumann regular ring. This definition generalizes $I$-semiregular rings. We give a series of characterizations and properties of this class of rings. Moreover, we also give some properties of $I$-semiregular rings.

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Published

2021-06-29

Issue

Vol. 54 No. 4 (2021)

Section

Articles