Alternative nucleus of right alternative algebras
type: Item
instance of: scholarly article
title: Alternative nucleus of right alternative algebras
zbMATH Open document ID: 0615.17014
author: Seong Nam Ng
published in: Southeast Asian Bulletin of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: Let R be a prime finitely generated right alternative algebra of characteristic \(\neq 2\) and let \(N_{\beta}=\{v\in R:\) \((a,a,v)=0\forall a\in R\}\) be the alternative nucleus of R. It is shown that if \([N_{\beta},R]\subseteq N_{\beta}\), then \(N_{\beta}\) coincides with the center of R, and if \([R,R]\subseteq N_{\beta}\) then R is alternative.
reviewed by: Alberto Elduque
Mathematics Subject Classification ID: 17D15
Mathematics Subject Classification ID: 17D05
zbMATH DE Number: 3995936
zbMATH Keywords: right nucleus
zbMATH Keywords: right alternative algebra
zbMATH Keywords: alternative nucleus
zbMATH Keywords: center
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3995936