Difference posets in the quantum structures background
type: Item
instance of: scholarly article
title: Difference posets in the quantum structures background
zbMATH Open document ID: 0967.06007
DOI: 10.1023/A:1003625401906
author: Ferdinand Chovanec
author: František Kôpka
published in: International Journal of Theoretical Physics
publication date: 2001-02-25T00:00:00Z
review text: The authors give a survey of relations of difference posets with other quantum structures -- orthoalgebras, orthomodular posets -- considering also special cases of lattices and lattices with pairwise compatible elements. They prove that every pair of regular observables has a joint observable provided we deal with an atomic \(\sigma\)-complete Boolean difference poset such that the set of atoms is countable.
reviewed by: Josef Tkadlec
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 1529140
zbMATH Keywords: difference poset
zbMATH Keywords: orthoalgebra
zbMATH Keywords: orthomodular poset
zbMATH Keywords: MV-algebra
zbMATH Keywords: Boolean algebra
zbMATH Keywords: observable
zbMATH Keywords: survey
MaRDI profile type: Publication
full work available at URL: a:1003625401906
OpenAlex ID: W75194636
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description: scientific article; zbMATH DE number 1529140