Notes on quantum logics and involutive bounded posets
type: Item
instance of: scholarly article
title: Notes on quantum logics and involutive bounded posets
zbMATH Open document ID: 1441.06008
author: Yali Wu
author: Yichuan Yang
published in: Soft Computing
publication date: 2018-02-27T00:00:00Z
review text: The authors concentrate on numerous conditions expressing orthomodularity in ortholattices. They give a detailed overview of exclusion systems of subalgebras distinguishing lattices, modular lattices, distributive lattices, ortholattices, orthomodular lattices, modular ortholattices, and Boolean algebras. They point an elementary ``widely cited error'' from a previous work, cited as [\textit{M.-L. Dalla Chiara} and \textit{R. Giuntini}, ``Quantum logics'', in: D. M. Gabbay (ed.) and F. Guenthner (ed.), Handbook of philosophical logic. Vol. 6. 2nd ed. Dordrecht: Kluwer Academic Publishers. 129--228 (2002; \url{doi:10.1007/978-94-017-0460-1_2})]. (The detailed reference in the paper is incorrect.)
reviewed by: Mirko Navara
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 06B20
zbMATH DE Number: 6844007
zbMATH Keywords: involutive bounded poset
zbMATH Keywords: ortholattice
zbMATH Keywords: orthomodular lattice
zbMATH Keywords: quantum logic
zbMATH Keywords: Dedekind-MacNeille completion
MaRDI profile type: Publication
full work available at URL: s00500-017-2579-6
OpenAlex ID: W2598392207
cites work: Q3222894
cites work: Q5532570
cites work: Minimal orthomodular lattices
cites work: Q3041254
cites work: Q4583711
cites work: Partially Ordered Sets
cites work: A semantical investigation on Brouwer-Zadeh logic
cites work: Q4750696
DOI: 10.1007/S00500-017-2579-6
description: scientific article; zbMATH DE number 6844007