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 196
On structure and commutativity of 3-prime near-rings
Abderrahmane Raji
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 25, 2022
March 03, 2175
April 15, 2175

Abstract: There has been an ongoing interest concerning the relationship between the commutativity of a 3-prime near-ring N and the behavior of an additive mapping as derivation or generalized derivation on N. We shall add to this body of results several commutativity theorems for near-rings admitting some differential identities under which near-rings are rings. Moreover, an example is given to prove that the necessity of the 3-primeness hypothesis imposed on the various theorems cannot be marginalized.