The Moore-Penrose inverse in rings with involution
Rings and Algebras
2016-01-29 v1
Abstract
Let be a unital ring with involution.In this paper, several new necessary and sufficient conditions for the existence of the Moore-Penrose inverse of an element in a ring are given.In addition, the formulae of the Moore-Penrose inverse of an element in a ring are presented.
Cite
@article{arxiv.1601.07685,
title = {The Moore-Penrose inverse in rings with involution},
author = {Sanzhang Xu and Jianlong Chen},
journal= {arXiv preprint arXiv:1601.07685},
year = {2016}
}