Year: 2021
Author: Zhanmin Zhu
Journal of Mathematical Study, Vol. 54 (2021), Iss. 4 : pp. 451–459
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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v54n4.21.09
Journal of Mathematical Study, Vol. 54 (2021), Iss. 4 : pp. 451–459
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Weakly $I$-semiregular rings $I$-semiregular rings $n$-injective modules $n$-flat modules ($m$ $n$)-injective modules.