Polynomial identities and nonidentities of split Jordan pairs
type: Item
instance of: scholarly article
title: Polynomial identities and nonidentities of split Jordan pairs
zbMATH Open document ID: 0920.17014
author: Erhard Neher
published in: Journal of Algebra
publication date: 1999-09-19T00:00:00Z
review text: The author shows that split Jordan pairs over rings without 2-torsion can be distinguished by polynomial identities with integer coefficients. In particular, this is true for simple finite-dimensional Jordan pairs over algebraically closed fields of characteristic \(\neq 2\). He also generalizes results of \textit{V. Drensky} and \textit{M. L. Racine} [Commun. Algebra 20, 309-327 (1992; Zbl 0745.17027)] on polynomial identities of Jordan algebras, and results of \textit{Z. Rached} and \textit{M. L. Racine} [ibid. 24, 963-1001 (1996; Zbl 0848.17045); Comm. Algebra 25, 2687-2702 (1997; Zbl 0881.17032)] on polynomial identities of Jordan triple systems.
Mathematics Subject Classification ID: 17C05
zbMATH DE Number: 1251301
zbMATH Keywords: split Jordan pairs
zbMATH Keywords: polynomial identities
MaRDI profile type: Publication
full work available at URL: jabr.1998.7605
OpenAlex ID: W2042989006
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DOI: 10.1006/JABR.1998.7605
description: scientific article; zbMATH DE number 1251301