Some commutativity criteria involving endomorphism conditions on prime ideals

Authors : L OUKHTİTE, Abdellah MAMOUNI, Mohammed ZERRA

Pages : 1280-1287

Doi:10.15672/hujms.918743

View : 25 | Download : 10

Publication Date : 2022-10-01

Article Type : Research Paper

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 insert ignore into journalissuearticles values(semi-prime); rings have been improved.
Keywords : prime ideals, commutativity, endomorphisms