Group invertibility of the sum in rings and its applications-Reference-Cited by-同舟云学术

Group invertibility of the sum in rings and its applications

Published:2024-03-26 Issue: Volume: Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Chen Huanyin¹,Liu Dayong²,Sheibani Marjan³

Affiliation:

1. School of Big Data , Fuzhou University of International Studies and Trade , Fuzhou 350202 , P. R. China

2. College of Science , Central South University of Forestry and Technology , Changsha 410004 , P. R. China

3. Farzanegan Campus , [ 56942]Semnan University, Semnan , Iran

Abstract

Abstract We present necessary and sufficient conditions under which the sum of two group invertible elements in a ring is group invertible. As applications, we establish the existence of group inverses of certain 2 × 2

{2\times 2}

block-operator matrices over a Banach space. These generalize the known results, e.g., Zhou, Chen and Zhu (Comm. Algebra 48 (2020), 676–690) and Benítez, Liu and Zhu (Linear Multilinear Algebra 59 (2011), 279–289).

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2024-2010/pdf

Reference16 articles.

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