Prime Jordan algebras and the Kantor construction
type: Item
instance of: scholarly article
title: Prime Jordan algebras and the Kantor construction
zbMATH Open document ID: 0826.17037
DOI: 10.1007/BF00739413
author: V. G. Skosyrskij
published in: Algebra and Logic
publication date: 1995-06-26T00:00:00Z
full work available at URL: https://eudml.org/doc/187688
review text: The author constructs two new examples of prime Jordan algebras with nonzero absolute zero divisors. Both of them are zero components of the Kantor construction [see \textit{D. King} and \textit{K. McCrimmon}, Commun. Algebra 20, 109-126 (1992; Zbl 0743.17030)]. It is proved also that a Jordan superalgebra of Poisson brackets is a homomorphic image of a special Jordan algebra. This result was obtained independently in the paper of \textit{I. P. Shestakov} [Algebra Logic 32, No. 5, 309-317 (1993); translation from Algebra Logica 32, No. 5, 571-584 (1993; see Zbl 0826.17013)].
Mathematics Subject Classification ID: 17C10
Mathematics Subject Classification ID: 17C50
zbMATH DE Number: 767662
zbMATH Keywords: prime Jordan algebras
zbMATH Keywords: absolute zero divisors
zbMATH Keywords: Kantor construction
zbMATH Keywords: Jordan superalgebra of Poisson brackets
reviewed by: Boris Vernikov
MaRDI profile type: Publication
cites work: On Finitely Generated Subgroups of Free Products
cites work: Coset Representations in Free Groups
cites work: Q3731853
OpenAlex ID: W2022608760
description: scientific article; zbMATH DE number 767662