Two descriptions of state spaces of orthomodular structures
type: Item
instance of: scholarly article
title: Two descriptions of state spaces of orthomodular structures
zbMATH Open document ID: 0963.03086
DOI: 10.1023/A:1026626130786
author: Mirko Navara
published in: International Journal of Theoretical Physics
publication date: 2001-06-25T00:00:00Z
review text: Orthoalgebras are exactly pastings of pasted families of Boolean algebras. However, requirements on their Greechie diagrams are not always easy to verify. After discussing these matters, the author introduces semipasted families of Boolean algebras, which are free of any restrictions on their Greechie diagrams. The correspondence between orthomodular structures and semipasted families of Boolean algebras is weakened to a functional isomorphism. This freedom makes the author prefer semipasted families of Boolean algebras to pasted ones.
reviewed by: Hirokazu Nishimura
Mathematics Subject Classification ID: 03G12
zbMATH DE Number: 1529829
zbMATH Keywords: state space
zbMATH Keywords: Greechie diagrams
zbMATH Keywords: semipasted families of Boolean algebras
zbMATH Keywords: orthomodular structures
MaRDI profile type: Publication
full work available at URL: a:1026626130786
OpenAlex ID: W1538342547
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description: scientific article; zbMATH DE number 1529829