The dimension of a JBW-algebra
type: Item
instance of: scholarly article
title: The dimension of a JBW-algebra
zbMATH Open document ID: 0632.46060
DOI: 10.1007/BF01161770
published in: Mathematische Zeitschrift
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/183706
review text: Let M be a JBW-algebra, P the lattice of projections of M. The author defines a new equivalence relation \(\delta\) on P, such that (P,\(\delta)\) is a dimension lattice, and finiteness with respect to \(\delta\) coincides with modularity. Moreover the whole type decomposition with respect to \(\delta\) remains the usual one given by D. Topping for the case of JW- algebras.
Mathematics Subject Classification ID: 46L70
Mathematics Subject Classification ID: 46L35
Mathematics Subject Classification ID: 06C15
zbMATH DE Number: 4028178
zbMATH Keywords: JBW-algebra
zbMATH Keywords: lattice of projections
zbMATH Keywords: equivalence relation
zbMATH Keywords: dimension lattice
zbMATH Keywords: modularity
zbMATH Keywords: decomposition
author: Klaus Alvermann
reviewed by: Sh. A. Ayupov
MaRDI profile type: Publication
cites work: Q5186181
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description: scientific article; zbMATH DE number 4028178