The logics of orthoalgebras
type: Item
instance of: scholarly article
title: The logics of orthoalgebras
zbMATH Open document ID: 0836.03035
DOI: 10.1007/BF01053029
author: Maria Luisa Dalla Chiara
author: Roberto Giuntini
published in: Studia Logica
publication date: 1996-05-02T00:00:00Z
review text: The aim of the paper is to compare some quantum structures such as sharp and unsharp orthoalgebras, \(D\)-posets and orthomodular posets. It is shown that unsharp orthoalgebras (called also effect algebras, see \textit{D. J. Foulis} and \textit{M. K. Bennett}, ``Effect algebras and unsharp quantum logics'' [Found. Phys. 24, No. 10, 1331-1352 (1994)]) and \(D\)- posets are practically the same things (see also Foulis and Bennett). Similarly, unsharp and weak orthoalgebras are the same things. In addition, some known examples are presented.
reviewed by: Anatolij Dvurečenskij
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 795263
zbMATH Keywords: partial quantum logic
zbMATH Keywords: sharp orthoalgebras
zbMATH Keywords: \(D\)-posets
zbMATH Keywords: unsharp orthoalgebras
zbMATH Keywords: orthomodular posets
zbMATH Keywords: effect algebras
zbMATH Keywords: weak orthoalgebras
MaRDI profile type: Publication
cites work: Logics based on partial Boolean \(\sigma\)-algebras. I
cites work: Partial and unsharp quantum logics.
cites work: Filters and supports in orthoalgebras
cites work: Semantic analysis of orthologic
cites work: Connections among quantum logics. I: Quantum propositional logics
cites work: Q5534907
description: scientific article; zbMATH DE number 795263