The Jordan regular ring associated to a finite JBW-algebra
type: Item
instance of: scholarly article
title: The Jordan regular ring associated to a finite JBW-algebra
zbMATH Open document ID: 0623.46032
DOI: 10.1016/0021-8693(87)90036-6
author: Pedro Jimenez Garijo
author: Ángel Rodríguez Palacios
published in: Journal of Algebra
publication date: 1987-01-01T00:00:00Z
review text: \textit{S. K. Berberian} [Ann. Math., II. Ser. 65, 224-240 (1957; Zbl 0085.099)] showed that a finite \(AW^*\)-algebra A can be embedded in a continuous *-regular ring R such that R has no new self-adjoint idempotents. The authors extend Berberian's results to a finite JBW- algebra A showing that A can be embedded in a von Neumann regular Jordan ring.
Mathematics Subject Classification ID: 46L70
Mathematics Subject Classification ID: 17C65
zbMATH DE Number: 4011216
zbMATH Keywords: finite \(AW^ *\)-algebra
zbMATH Keywords: continuous *-regular ring
zbMATH Keywords: finite JBW-algebra
zbMATH Keywords: von Neumann regular Jordan ring
MaRDI profile type: Publication
full work available at URL: 0021-8693(87)90036-6
OpenAlex ID: W2012705240
cites work: Q3310406
cites work: A Gelfand-Neumark theorem for Jordan algebras
cites work: On regular rings with involution
cites work: The regular ring of a finite AW\(^*\)-algebra
cites work: Q5522255
cites work: On the centres of hereditary JBW-subalgebras of a JBW-algebra
cites work: The regular ring and the maximal ring of quotients of a finite Baer \(^*\)- ring
cites work: Q4748637
cites work: Q5622399
cites work: Localization of jordan algebras
cites work: Rings of quotients for a class of special Jordan rings
cites work: On rings of operators
cites work: Traces On Jordan Algebras
cites work: The Regular Ring and the Maximal Ring of Quotients of a Finite Baer *-Ring
cites work: Q5522244
cites work: On normed Jordan algebras which are Banach dual spaces
cites work: Jordan algebras of self-adjoint operators
cites work: Jordan \(C^*\)-algebras
description: scientific article; zbMATH DE number 4011216