M. Sheibani

activity

20152022

most citedRings over which every matrix is the sum of a tripotent and a nilpotent

3 citations · 5 across the 13 of their papers we have counts for

collaborators

10 papers

math.RA2021

Generalized Cline's formula and Jacobson's lemma in a ring

Huanyin Chen, Marjan Sheibani

We present new generalized Cline's formula and Jacobson's lemma for the g-Drazin inverse in a ring. These extend many known results, e.g., Chen and Abdolyousefi (Generalized Jacobs…

math.RA2020

Generalized Jacobson's lemma for generalized Drazin inverses

Huanyin Chen, Marjan Sheibani

We present new generalized Jacobson's lemma for generalized Drazin inverses. This extend the main results on g-Drazin inverse of Yan, Zeng and Zhu (Linear $&$ Multilinear Algebra,…

math.RA2020

Jacobson's Lemma for the generalized n-strongly Drazin inverse

Huanyin Chen, Marjan Sheibani

Let $n \in N$ . An element $a \in R$ has generalized n-strongly Drazin inverse if there exists $x \in R$ such that $x a x = x, x \in co m m^{2} (a), a^{n} - a x \in R^{q ni l} .$ For any $a,b\in R…

math.RA2019

Expressions for the g-Drazin inverse in a Banach algebra

Huanyin Chen, Marjan Sheibani

We explore the generalized Drazin inverse in a Banach algebra. Let $A$ be a Banach algebra, and let $a, b \in A^{d}$ . If $ab = λ a^{π} ba b^{π}$ then $a+b\in \mathcal{A}^{…

math.RA2019

Additive properties of G-Drazin inverse of linear operators

Huanyin Chen, Marjan Sheibani

In this paper, we investigate additive properties of generalized Drazin inverse for linear operators in Banach spaces. Under new polynomial conditions on generalized Drazin inverti…

math.RA2017

On Hirano inverses in rings

Huanyin Chen, Marjan Sheibani

We introduce and study a new class of Drazin inverses. An element $a$ in a ring $R$ has Drazin inverse $b$ if $a^{2} - ab \in N (R)$ , $ab = ba$ and $b = bab$ . Every Hirano inverse of an elem…