Test groups and effect algebras
type: Item
instance of: scholarly article
title: Test groups and effect algebras
zbMATH Open document ID: 0856.03048
DOI: 10.1007/BF02302408
published in: International Journal of Theoretical Physics
publication date: 1997-02-24T00:00:00Z
review text: The notion of a test group as a pair \((G, T)\), where \(G\) is a partially ordered Abelian group and \(T\) is a generative antichain in its positive cone, is introduced. This notion is connected with representation of effect algebras and it has an intimate connection with D-test spaces introduced by the reviewer and \textit{S. Pulmannová} [Rep. Math. Phys. 34, 151-170 (1994; Zbl 0820.03038)]. In addition, some methods to calculate the algebraic closure, and some ideas about quotient effect algebras are presented.
reviewed by: Anatolij Dvurečenskij
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 81P10
Mathematics Subject Classification ID: 06F20
zbMATH DE Number: 912951
zbMATH Keywords: interval effect algebra
zbMATH Keywords: universal group
zbMATH Keywords: test group
zbMATH Keywords: partially ordered Abelian group
zbMATH Keywords: effect algebras
zbMATH Keywords: D-test spaces
zbMATH Keywords: algebraic closure
zbMATH Keywords: quotients
author: David J. Foulis
author: Mary Katherine Bennett
author: Richard J. Greechie
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 912951