On *r-clean rings
Received date: 2023-03-21
Online published: 2024-03-18
覃健 , 应志领 , 周华 . 关于*r-clean环[J]. 华东师范大学学报(自然科学版), 2024 , 2024(2) : 30 -32 . DOI: 10.3969/j.issn.1000-5641.2024.02.004
An involution ring is called a *r-clean ring if every element is the sum of a projection and a *-regular element. Some extensions of *r-clean rings are discussed, and a characterization of the element in a *-abelian *r-clean ring is given.
Key words: *r-clean ring; *-clean ring; *-regular ring
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