SEP elements in a ring with involution
Yan Ji, X. L. Wang, Junchao Wei · Filomat · 2025
In this paper, we provide many new characterizations of SEP elements in terms of exponentiation, projection, and anti-Hermitian elements. Additionally, we investigate idempotent elements and one-sided x-idempotence to characterize SEP elements. Finally, we discuss x-commutativity and one-sided x-equality to characterize SEP elements.