Some commutativity criteria involving endomorphism conditions on prime ideals

Yıl 2022, Cilt: 51 Sayı: 5, 1280 - 1287, 01.10.2022

L. Oukhtite Abdellah Mamounı Mohammed Zerra

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

Cited By: 1

Öz

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.

Anahtar Kelimeler

prime ideals, commutativity, endomorphisms

Kaynakça

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