Mathematics

On *r-clean rings

  • Jian QIN ,
  • Zhiling YING ,
  • Hua ZHOU
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  • 1. College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China

Received date: 2023-03-21

  Online published: 2024-03-18

Abstract

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.

Cite this article

Jian QIN , Zhiling YING , Hua ZHOU . On *r-clean rings[J]. Journal of East China Normal University(Natural Science), 2024 , 2024(2) : 30 -32 . DOI: 10.3969/j.issn.1000-5641.2024.02.004

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