On Strongly pi-Regular Rings with Involution

• Published in: Communications in Mathematics Vol. 31 (2023), Issue 1
• Main Authors: Cui, Jian, Danchev, Peter
• Format: Journal Article
• Language: English
• Published: 2023
• ISSN: 2336-1298; 2336-1298
• DOI: 10.46298/cm.10273

Recall that a ring R is called strongly pi-regular if, for every a in R, there is a positive integer n, depending on a, such that a^n belongs to the intersection of a^{n+1}R and Ra^{n+1}. In this paper we give a further study of the notion of a strongly pi-star-regular ring, which is the star-versio...