Characterizations of m -EP elements in rings
Honglin Zou, Jianlong Chen, Pedro Henrique de Bitencourt Patricio · Linear and Multilinear Algebra · 2017
Let R be a ring with involution. In this paper, we extend the notions of m-EP matrices and m-EP operators to an arbitrary ring case. A number of new characterizations of m-EP elements in rings are presented. In particular, the existence criteria for 1-EP (i.e. EP) elements are obtained by means of the group inverse, Moore–Penrose inverse, and core inverse. Some properties of 2-EP are also given.