Primitive Jordan triple systems
type: Item
instance of: scholarly article
title: Primitive Jordan triple systems
zbMATH Open document ID: 0802.17025
DOI: 10.1007/BF02260926
published in: Algebra and Logic
publication date: 1994-05-18T00:00:00Z
review text: The classification of the nondegenerate prime Jordan triple systems (JTS) was obtained by \textit{E. Zelmanov} [Sib. Math. J. 26, 55-64 (1985; Zbl 0575.17012); translation from Sib. Mat. Zh. 26, No. 1, 71-82 (1985)]. The author of the paper under review deals with an analogous task for primitive JTS. The classification obtained reduces the primitive JTS to the simple ones and to JTS connected to primitive associative algebras. The methods used seem prospectful for further investigations. Among the most important ones it should be noted that a construction of a pentad-- eating ideal in the free special JTS is given. Compared to its analog known earlier it is simpler to handle and, moreover, it is generated by a polynomial of degree 19.
reviewed by: Plamen Koshlukov
Mathematics Subject Classification ID: 17C10
Mathematics Subject Classification ID: 17C05
Mathematics Subject Classification ID: 16W10
Mathematics Subject Classification ID: 17C50
zbMATH DE Number: 561013
zbMATH Keywords: primitive Jordan triple systems
zbMATH Keywords: pentad eaters
zbMATH Keywords: primeness
zbMATH Keywords: primitiveness
zbMATH Keywords: classification
author: V. G. Skosyrskij
MaRDI profile type: Publication
cites work: Q4187932
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full work available at URL: https://doi.org/10.1007/bf02260926
OpenAlex ID: W2012572086
description: scientific article; zbMATH DE number 561013