On gs-Drazin inverses in a ring-Reference-Cited by-同舟云学术

On gs-Drazin inverses in a ring

Published:2019-03-01 Issue:02 Volume:19 Page:2050029
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Chen Huanyin¹,Calci Mete Burak²

Affiliation:

1. Department of Mathematics, Hangzhou Normal University, Hangzhou, P. R. China

2. Tubitak-Bilgem, Kocaeli, Turkey

Abstract

An element [Formula: see text] in a ring [Formula: see text] has a gs-Drazin inverse if there exists [Formula: see text] such that [Formula: see text]. In this paper, we extend Cline’s formula and Jacobson’s Lemma for gs-Drazin inverses. Various additive properties of gs-Drazin inverses are thereby obtained.

Funder

Natural Science Foundation of Zhejiang Provience, China

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498820500292

Reference17 articles.

1. The generalized Drazin inverse with commutativity up to a factor in a Banach algebra

2. Some results on the Drazin invertibility and idempotents

3. Additive results for the generalized Drazin inverse in a Banach algebra

4. On Jacobson’s lemma and Drazin invertibility

5. Additive results for the generalized Drazin inverse

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1. gs-Drazin inverses of generalized matrices over local rings;Filomat;2022

2. Characterizations for the n-strong Drazin invertibility in a ring;Journal of Algebra and Its Applications;2020-07-24