Jordan superderivations. II.
type: Item
instance of: scholarly article
title: Jordan superderivations. II.
zbMATH Open document ID: 1080.16030
DOI: 10.1155/S0161171204304412
author: Maja Fošner
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-25T00:00:00Z
full work available at URL: https://eudml.org/doc/52038
review text: In a recent paper the author proved that a Jordan superderivation \(D\) on a prime associative superalgebra \(A=A_0\oplus A_1\) is a superderivation, unless the even part \(A_0\) is commutative [part I, Commun. Algebra 31, No. 9, 4533-4545 (2003; Zbl 1048.16016)]. In the paper under review this result is extended to the semiprime case. The main result in particular shows that there exist two graded ideals \(U\) and \(V\) such that their direct sum is an essential ideal of \(A\), the restriction of \(D\) to \(U\) is a superderivation, and \(V\) has a commutative even part. By an example the author also justifies the restriction to an essential ideal.
Mathematics Subject Classification ID: 16W25
Mathematics Subject Classification ID: 16W55
Mathematics Subject Classification ID: 17C70
Mathematics Subject Classification ID: 17C50
Mathematics Subject Classification ID: 16W10
Mathematics Subject Classification ID: 16N60
zbMATH DE Number: 2171597
zbMATH Keywords: Jordan superderivations
zbMATH Keywords: semiprime superalgebras
reviewed by: Matej Brešar
MaRDI profile type: Publication
OpenAlex ID: W1999744427
description: scientific article; zbMATH DE number 2171597