3 citations · 18 across the 46 of their papers we have counts for
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Generalized Zhou inverses in rings
Huanyin Chen, Marjan Sheibani Abdolyousefi
We introduce and study a new class of generalized inverses in rings. An element in a ring has generalized Zhou inverse if there exists such that $bab=b, b\in comm^…
New characterizations of G-Drazin inverse in Banach algebra
Huanyin Chen, Marjan Sheibani Abdolyousefi
In this paper, we present a new characterization of g-Drazin inverse in a Banach algebra. We prove that an element a is a Banach algebra has g-Drazin inverse if and only if there e…
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,…
Generalized Jacobson's lemma in a Banach algebra
Huanyin Chen, Marjan Sheibani Abdolyousefi
Let A be a Banach algebra, and let a; b; c 2 A satisfying a(ba)^2 = abaca = acaba = (ac)^2a: We prove that 1 - ba\in A^d if and only if 1 - ac \in A^d. In this case, (1-ac)^d =1-a(…
Generalized Cline's formula for G-Drazin inverse in a ring
Huanyin Chen, Marjan Sheibani Abdolyousefi
In this paper, we give a generalized Cline's formula for the generalized Drazin inverse. Let be a ring, and let satisfying $$\begin{array}{c} (ac)^2 = (db)(ac),…
Jacobson's Lemma for the generalized n-strongly Drazin inverse
Huanyin Chen, Marjan Sheibani
Let . An element has generalized n-strongly Drazin inverse if there exists such that For any $a,b\in R…