Characterizations of EP elements via w-core inverses
Liufeng Cao, Junchao Wei · Filomat · 2025
Let R be a ring with an involution. It has been proven that a ? R^{EP} if and only if (aa^{\#})^{*} = aa^{\#} , where a^{\#} is the group inverse of a, and R^{EP} is the set of all EP elements in R. In this paper, we use w-core inverses and core inverses to describe EP elements in a ring with an involution, by making full use of the result mentioned before.