On Jordan generalized \(k\)-derivations of semiprime \(\Gamma_N\)-rings.
type: Item
instance of: scholarly article
title: On Jordan generalized \(k\)-derivations of semiprime \(\Gamma_N\)-rings.
zbMATH Open document ID: 1226.16035
published in: Bulletin of the Iranian Mathematical Society
publication date: 2011-05-31T00:00:00Z
review text: The authors study generalized \(k\)-derivations and Jordan generalized \(k\)-derivations of \(\Gamma\)-rings. These notions are defined for \(\Gamma\)-rings as is to be expected from the corresponding definitions for rings. Every generalized \(k\)-derivation is a Jordan generalized \(k\)-derivation, but the converse is not true in general. The main result is to show that for a \(2\)-torsion free semiprime Nobusawa \(\Gamma\)-ring, a suitable ``commutativity'' requirement on the Jordan generalized \(k\)-derivation will ensure that it is also a generalized \(k\)-derivation.
reviewed by: Stefan Veldsman
Mathematics Subject Classification ID: 16Y99
Mathematics Subject Classification ID: 16W25
Mathematics Subject Classification ID: 16N60
Mathematics Subject Classification ID: 16W10
Mathematics Subject Classification ID: 16U80
zbMATH DE Number: 5901782
zbMATH Keywords: gamma-rings
zbMATH Keywords: generalized derivations
zbMATH Keywords: Jordan derivations
author: Sujoy Chakraborty
author: Akhil Chandra Paul
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5901782