Right alternative algebras
type: Item
instance of: scholarly article
title: Right alternative algebras
zbMATH Open document ID: 0572.17013
DOI: 10.1007/BF01979706
author: V. G. Skosyrskij
published in: Algebra and Logic
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/187263
review text: The author proves that in a right alternative algebra A, over a commutative-associative ring containing 1/2, the ideal generated by the alternators of A is contained in the McCrimmon radical \(M(A^{(+)})\) of the attached Jordan algebra \(A^{(+)}\). His proof, however, assumes the linear span of the alternators and elements of the form ([a,b],a,b) is an ideal, while this has only been shown by \textit{A. Thedy} [J. Algebra 37, 1-43 (1975; Zbl 0318.17011)] to be a left ideal.
Mathematics Subject Classification ID: 17D15
zbMATH DE Number: 3912585
zbMATH Keywords: right alternative algebra
zbMATH Keywords: ideal
zbMATH Keywords: alternators
zbMATH Keywords: McCrimmon radical
MaRDI profile type: Publication
cites work: Q3947798
cites work: Q5595222
cites work: Q3874374
cites work: Q3869506
cites work: Q3243327
cites work: On right alternative algebras
cites work: Q5622399
cites work: Right Alternative Rings
cites work: Jordan Homomorphisms and Right Alternative Rings
cites work: Right alternative rings
cites work: Right alternative rings with Peirce decomposition
cites work: Radicals of right alternative and jordan rings
description: scientific article; zbMATH DE number 3912585