- Hacettepe Journal of Mathematics and Statistics
- Vol: 51 Issue: 5
- Some commutativity criteria involving endomorphism conditions on prime ideals
Some commutativity criteria involving endomorphism conditions on prime ideals
Authors : L. Oukhtite, Abdellah Mamouni, Mohammed Zerra
Pages : 1280-1287
Doi:10.15672/hujms.918743
View : 11 | Download : 3
Publication Date : 2022-10-01
Article Type : Research
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