Some new characterizations of (b,c)-inverses and Bott-Duffin (e,f)-inverses-Reference-Cited by-同舟云学术

Some new characterizations of (b,c)-inverses and Bott-Duffin (e,f)-inverses

Published:2023 Issue:15 Volume:37 Page:4833-4842
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Yao Hua¹,Zhao Ruju²,Wang Long³,Wei Junchao³

Affiliation:

1. School of Mathematics and Statistics, Huanghuai University, Zhumadian, Henan, P.R. China + School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu, P.R. China

2. College of Science, Beibu Gulf University, Qinzhou, Guangxi, P.R. China + School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu, P.R. China

3. School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu, P.R. China

Abstract

The (b,c)-inverse and the Bott-Duffin (e,f)-inverse are two classes of outer inverses, a few characterizations of which have been presented by certain researchers. In this paper, we give some new characterizations of (b, c)-inverses and Bott-Duffin (e,f)-inverses. First, we present a number of ring theoretic characterizations of (b,c)-inverses. Then we characterize (b, c)-inverses by equations. Finally, we present some characterizations of Bott-Duffin (e,f)-inverses. More specifically, we use Bott-Duffin (e,f)- inverses to characterize some classes of rings, such as directly finite rings, Abelian rings and left min-abel rings.

Publisher

National Library of Serbia

Reference13 articles.

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