Journal of East China Normal University(Natural Science) ›› 2024, Vol. 2024 ›› Issue (2): 30-32.doi: 10.3969/j.issn.1000-5641.2024.02.004

• Mathematics • Previous Articles     Next Articles

On *r-clean rings

Jian QIN(), Zhiling YING*(), Hua ZHOU   

  1. 1. College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
  • Received:2023-03-21 Online:2024-03-25 Published:2024-03-18
  • Contact: Zhiling YING;


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

CLC Number: