3 citations · 18 across the 46 of their papers we have counts for
5 papers · 1 filter
On Hirano inverses in rings
Huanyin Chen, Marjan Sheibani
We introduce and study a new class of Drazin inverses. An element in a ring has Drazin inverse if , and . Every Hirano inverse of an elem…
Generalized Hirano inverses in rings
Marjan Sheibani Abdolyousefi, Huanyin Chen
We introduce and study a new class of generalized inverse in rings. An element in a ring has generalized Hirano inverse if there exists some such that $bab=b, b\in…
On Zhou nil-clean rings
Marjan Sheibani Abdolyousefi, Nahid Ashrafi, Huanyin Chen
A ring R is a Zhou nil-clean ring if every element in R is the sum of two tripotents and a nilpotent that commute. In this paper, Zhou nil-clean rings are further discussed with an…
On Yaqub nil-clean ring
Huanyin Chen, Marjan Sheibani Abdolyousefi
A ring R is Yaqub nil-clean if for any a\in R, a-a^3 or a+a^3 is nilpotent for all a\in R. We prove that a ring R is Yaqub nil-clean if and only if for any a\in R, there exists som…
Matrices over Zhou nil-clean rings
Marjan Sheibani Abdolyousefi, Huanyin Chen
A ring R is Zhou nil-clean if every element in R is the sum of two tripotents and a nilpotent that commute. Let R be a Zhou nil-clean ring. If R is 2-primal (of bounded index), we…