Affiliation:
1. College of mathematical science, Yangzhou University, Yangzhou, Jiangsu, P. R. China
Abstract
In this paper, we study many new characterizations of SEP elements in a rings
with involution, mainly, we first discuss some properties of SEP elements by
means of regular elements, {1,3}-inverses and the equality of certain set.
Next, we give some necessity and sufficiency conditions of SEP elements by
discussing the solutions of related equations. Finally, we characterize SEP
elements by constructing the group inverses and MP inverses.
Publisher
National Library of Serbia