Affiliation:
1. School of Mathematics, Yangzhou University, Yangzhou, P.R. China
Abstract
Let R be a ring with involution *. An element a 2 R is called *-strongly
regular if there exists a projection p of R such that p ? comm2(a), ap = 0
and a + p is invertible, and R is said to be *-strongly regular if every
element of R is *-strongly regular. We discuss the relations among strongly
regular rings, *-strongly regular rings, regular rings and *-regular
rings. Also, we show that an element a of a *-ring R is *-strongly regular
if and only if a is EP. We finally give some characterizations of EP
elements.
Publisher
National Library of Serbia
Cited by
1 articles.
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1. Group Inverses;Algebraic Theory of Generalized Inverses;2023-12-18