Local-to-global inheritance of primitivity in Jordan algebras
type: Item
instance of: scholarly article
title: Local-to-global inheritance of primitivity in Jordan algebras
zbMATH Open document ID: 0909.17017
author: Teresa Cortés
author: José A. Anquela
published in: Archiv der Mathematik
publication date: 1999-04-08T00:00:00Z
review text: The authors show the inheritance of primitivity by a strongly prime Jordan algebra from any of its primitive local algebras. Unlike the algebra case, primitivity of a Jordan pair is considered at a particular element, and shown to be equivalent to primitivity of its local algebra at this element under the assumption of strong primeness. In this context, the above result has played an important role in the definite solution of the problem on the ``location'' of primitivity for Jordan systems [\textit{J. A. Anquela} and \textit{T. Cortés}, J. Algebra 202, 295-314 (1998)], that is, the possibility of changing the element at which primitivity occurs.
reviewed by: Antonio Fernández López
Mathematics Subject Classification ID: 17C10
zbMATH DE Number: 1145759
zbMATH Keywords: primitive Jordan algebras
zbMATH Keywords: Jordan systems
MaRDI profile type: Publication
full work available at URL: s000130050187
OpenAlex ID: W1997330964
DOI: 10.1007/S000130050187
description: scientific article; zbMATH DE number 1145759