Group invertibility of the sum in rings and its applications
Rings and Algebras
2022-03-16 v1
Abstract
We present new additive results for the group invertibility in a ring. Then we apply our results to block operator matrices over Banach spaces and derive the existence of group inverses of block operator matrices. These generalize many known results, e.g., Benitez, Liu and Zhu(Linear Multilinear Algebra, {\bf 59}(2011), 279--289) and Zhou, Chen and Zhu(Comm. Algebra, {\bf 48}(2020),676-690).
Cite
@article{arxiv.2203.07582,
title = {Group invertibility of the sum in rings and its applications},
author = {Huanyin Chen and Dayong Liu and Marjan Sheibani},
journal= {arXiv preprint arXiv:2203.07582},
year = {2022}
}