Characterizations and representations of core and dual core inverses
Rings and Algebras
2019-02-20 v1
Abstract
In this paper, double commutativity and the reverse order law for the core inverse are considered. Then, new characterizations of the Moore-Penrose inverse of a regular element are given by one-sided invertibilities in a ring. Furthermore, the characterizations and representations of the core and dual core inverses of a regular element are considered.
Keywords
Cite
@article{arxiv.1608.06779,
title = {Characterizations and representations of core and dual core inverses},
author = {Jianlong Chen and Huihui Zhu and Pedro Patricio and Yulin Zhang},
journal= {arXiv preprint arXiv:1608.06779},
year = {2019}
}
Comments
19 pages, http://dx.doi.org/10.4153/CMB-2016-045-7