Strongly prime Jordan pairs with nonzero socle
type: Item
instance of: scholarly article
title: Strongly prime Jordan pairs with nonzero socle
zbMATH Open document ID: 1035.17042
author: Antonio Fernández López
author: Maribel Tocón Barroso
published in: Manuscripta Mathematica
publication date: 2003-08-17T00:00:00Z
review text: The paper under review makes an interesting progress in the structure theory of Jordan systems. The notion of socle in Jordan systems has become an interesting tool in the development of this Jordan structure theory. The definition of socle for Jordan algebras is due to Osborn and Racine while for Jordan triples and Jordan pairs it was extended by Fernández-Lopez, García-Rus, Sánchez-Campos and Loos, respectively. In previous papers, the authors obtained, under some restrictions on the characteristic, structure theorems for strongly prime Jordan systems (algebras, triples and pairs) with nonzero socle. Jordan algebras and Jordan pairs of infinite capacity were also determined by the authors without any restriction in another paper. In the paper under review they obtain a characteristic-free description of strongly prime Jordan pairs with minimal inner ideals.
reviewed by: Antonio M. Peralta
Mathematics Subject Classification ID: 17C10
zbMATH DE Number: 1965508
MaRDI profile type: Publication
full work available at URL: s00229-003-0372-6
OpenAlex ID: W1531950400
DOI: 10.1007/S00229-003-0372-6
description: scientific article; zbMATH DE number 1965508