Strongly prime alternative pairs with minimal inner ideals
type: Item
instance of: scholarly article
title: Strongly prime alternative pairs with minimal inner ideals
zbMATH Open document ID: 0869.17024
DOI: 10.1007/BF02568320
author: A. Castellón Serrano
author: Antonio Fernández López
author: Amable García Martín
author: Candido Martín González
published in: Manuscripta Mathematica
publication date: 1997-08-24T00:00:00Z
review text: It is proved that any strongly prime alternative pair with a nonzero socle is either associative or a simple nonassociative alternative pair of a finite capacity. Using the results of \textit{O. Loos} on the structure of simple alternative pairs of finite capacity [Jordan pairs, Lecture Notes Math. 460 (1975; Zbl 0301.17003)], the authors then obtain the complete classification of strongly prime alternative pairs with nonzero socle.
Mathematics Subject Classification ID: 17D05
Mathematics Subject Classification ID: 17A30
zbMATH DE Number: 980709
zbMATH Keywords: classification
zbMATH Keywords: strongly prime alternative pairs
reviewed by: Ivan Shestakov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 980709