m-weak group inverses in a ring with involution
Rings and Algebras
2020-08-03 v1
Abstract
In a unitary ring with involution, we prove that each element has at most one weak group inverse if and only if each idempotent element has a unique weak group inverse. Furthermore, we define the -weak group inverse and show some properties of -weak group inverse.
Cite
@article{arxiv.2007.15819,
title = {m-weak group inverses in a ring with involution},
author = {Yukun Zhou and Jianlong Chen and Mengmeng Zhou},
journal= {arXiv preprint arXiv:2007.15819},
year = {2020}
}