gs-Drazin inverses of generalized matrices over local rings-Reference-Cited by-同舟云学术

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gs-Drazin inverses of generalized matrices over local rings

Published:2022 Issue:6 Volume:36 Page:1991-2000
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Chen Huanyın¹,Calci Mete²

Affiliation:

1. Hangzhou Normal University, Hangzhou, China

2. Tubitak-Bilgem, Kocaeli, Turkey

Abstract

An element a in a ring R has a gs-Drazin inverse if there exists b ? comm2(a) such that b = b2a, a ? ab ? Rqnil. For any s ? C(R), we completely determine when a generalized matrix A ? Ks(R) over a local ring R has a gs-Drazin inverse.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference13 articles.

1. H. Chen, M. B. Calci, On gs-Drazin inverses in a ring, Journal Algebra and Its Applications (2019) 2050029 [9 pages], DOI: 10.1142/S0219498820500292.

2. H. Chen, On strongly nil clean matrices, Communications in Algebra 41 (2013), 1074-1086.

3. J. Cui, J. Chen, A class of quasipolar rings, Communications in Algebra 40 (2012), 4471-4482.

4. J. Cui, J. Chen, Quasipolar matrix rings over local rings, Bulletin of the Korean Mathematical Society 51 (2014), 813-822.

5. J. Cui, J. Chen, Pseudopolar matrix rings over local rings, Journal Algebra and Its Applications 13 (2014) 1350109 [12 pages], DOI: 10.1142/S0219498813501090.

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