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 238
On Nilpotent Homoderivations in Prime and Semi-prime Rings
Said 2 Belkadi, Lahcen Taoufiq
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 27, 2022
March 03, 2210
April 15, 2210

Abstract: In [1] El Sofy introduced the concept of homoderivations in a ring as an amalgamation of both homomorphisms and derivations, that is. An additive mapping on a ring R is called a homoderivation if it satisfies the following rule: h(xy)=h(x)h(y)+h(x)y+xh(y) for all x, y in R. Our goal in this paper is to study nilpotent homodrivations and to provide results about their index of nilpotency in prime and semi-prime rings with torsion restrictions or restrictions on the characteristic of the ring. Hence, we will extend the results of Chung and Luh [2-4], Martindale and Miers [5] and Jensen [6] on ...