Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 441
Some identities in quotient rings
Mohammadi El Hamdaoui, Abdelkarim Boua
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2370
April 15, 2370

Abstract: Let R be an associative ring, P a prime ideal of R. In this paper, we study the structure of the ring R/P and describe the possible forms of thegeneralized derivations satisfying certain algebraic identities on R. As a consequence of our theorems, we first investigate strong commutativity preserving generalized derivations of prime rings, and then examine the generalized derivation acting as (anti)homomorphism in prime rings. Some commutativity theorems also given in semi-prime rings.