Article
Kyungpook Mathematical Journal 2021; 61(4): 727-735
Published online December 31, 2021
Copyright © Kyungpook Mathematical Journal.
Identities in a Prime Ideal of a Ring Involving Generalized Derivations
Nadeem ur Rehman* and Hafedh Mohsen Ali Alnoghashi
Abdelkarim Boua
Department of Mathematics, Aligarh Muslim University, 202002 Aligarh, India
e-mail : nu.rehman.mm@amu.ac.in, rehman100@gmail.com and halnoghashi@gmail.com
Polydisciplinary Faculty, LSI , Taza, Sidi Mohammed Ben Abdellah University Fez, Morocco
e-mail : abdelkarimboua@yahoo.fr
Received: April 7, 2021; Revised: October 5, 2021; Accepted: October 6, 2021
In this paper, we will study the structure of the quotient ring R/P of an arbitrary ring R by a prime ideal P. We do so using differential identities involving generalized derivations of R. We enrich our results with examples that show the necessity of their assumptions.
Keywords: Prime ideal, generalized derivations, commutativity