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 224
Commutativity with algebraic identities in special classes near-rings
Abdelkarim Belharrate, Mohammed Oukessou, Abderrahmane Raji
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 27, 2022
March 03, 2196
April 15, 2196

Abstract: Near rings are generalized rings, since addition is not commutative and the most important fact is only one distributive law is needed. Upon comparing with the standard class of rings, endomorphism rings of abelian groups, we can see that ring theory describes a "linear theory of group mappings”, while near rings deal the general "nonlinear theory." In the present manuscript, we have generalized the results which have been established for "abelian group mappings" to "non-abelian group mappings." We shall add to this body of results several commutativity theorems for near-rings admitting ...