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Weakly $I$-Semiregular Rings and $I$-Semiregular Rings |
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| Authors: | Zhanmin Zhu |
| 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. |
| Keywords: | Weakly $I$-semiregular rings $I$-semiregular rings $n$-injective modules $n$-flat modules ($m$ $n$)-injective modules |
| 点击此处可从《数学研究》浏览原始摘要信息 | |