Characterizations and Representations of Core and Dual Core Inverses
Jianlong Chen, Huihui Zhu, Pedro Henrique de Bitencourt Patricio, Yulin Zhang · Canadian Mathematical Bulletin · 2016
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.