Some commutativity criteria involving endomorphism conditions on prime ideals

Year 2022, Volume: 51 Issue: 5, 1280 - 1287, 01.10.2022

L. Oukhtite , Abdellah Mamounı , Mohammed Zerra

https://doi.org/10.15672/hujms.918743

Cited By: 1

Abstract

In this paper we initiate a new approach consisting to characterize the commutativity of a quotient ring $R/P$ by endomorphisms of $R$ satisfying some algebraic identities involving the prime ideal $P.$ Some well-known results concerning the commutativity of prime (semi-prime) rings have been improved.

Keywords

prime ideals, commutativity, endomorphisms

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