On prime near-rings with generalized derivation.
type: Item
instance of: scholarly article
title: On prime near-rings with generalized derivation.
zbMATH Open document ID: 1152.16036
DOI: 10.1155/2008/490316
author: Howard E. Bell
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2008-08-19T00:00:00Z
full work available at URL: https://eudml.org/doc/54865
review text: A generalized derivation \(f\) with associated derivation \(D\) in a (left) nearring \(N\) is an additive endomorphism of \(N\) such that \(f(xy)=f(x)y+xD(y)\), \(\forall x,y\in N\). Now \(3\)-prime \(2\)-torsion free nearrings with a generalized derivation fulfilling certain conditions are commutative rings.
reviewed by: Celestina Cotti Ferrero
Mathematics Subject Classification ID: 16Y30
Mathematics Subject Classification ID: 16W25
Mathematics Subject Classification ID: 16U70
zbMATH DE Number: 5313285
zbMATH Keywords: prime nearrings
zbMATH Keywords: generalized derivations
zbMATH Keywords: commutativity theorems
Wikidata QID: Q58644781
MaRDI profile type: Publication
OpenAlex ID: W2084372196
cites work: Q3755607
cites work: Derivations in Prime Near-Rings
cites work: Q5447639
cites work: Notes on prime near-rings with generalized derivation.
DBLP publication ID: journals/ijmmsc/Bell08
description: scientific article; zbMATH DE number 5313285