Semireversibility of rings with involution
Muhammad Saad\,^1 , Usama A. Aburawash\,^1 and Aziza Salah\,^2
\,^1 Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, 21568, Egypt.
\,^2 Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, 22516, Egypt.
Pages 298–306 | Received 05 April 2023, Accepted 12 September 2023, Published 11 December 2023
Abstract
In this note, we introduce the concept of ∗-semireversibility of rings, the involutive version of semireversible rings, which is a generalization of ∗-reversible ∗-rings. We study the basic preliminaries and properties of ∗-semireversible ∗-rings and give results joining them with other algebraic involutive structures.
Keywords: ∗-semireversible, ∗-reversible, ∗-reduced, ∗-nilpotent.
MSC numbers: Primary 16W10; secondary 16N60; 16D25.
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