3 citations · 6 across the 17 of their papers we have counts for
17 papers
The Sum of EP elements in a ring with involution
Huanyin Chen, Marjan Sheibani Abdolyousefi
We present a necessary and sufficient conditions under which the sum of two EP elements in a *-ring has core inverse. As an application, we establish the conditions under which a b…
Rings generated by idempotents and nilpotents
Huanyin Chen, Marjan Sheibani Abdolyousefi
We present new characterizations of the rings in which every element is the sum of two idempotents and a nilpotent that commute, and the rings in which every element is the sum of…
New Representation of Drazin Inverse for Block complex matrices
Huanyin Chen, Marjan Sheibani Abdolyousefi
We present a new formula for the Drazin inverse of the sum of two complex matrices under weaker conditions with perturbations. By using this additive results, we establish new repr…
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^…
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),…