Common generalizations of orthocomplete and lattice effect algebras
type: Item
instance of: scholarly article
title: Common generalizations of orthocomplete and lattice effect algebras
zbMATH Open document ID: 1217.06001
author: Josef Tkadlec
published in: International Journal of Theoretical Physics
publication date: 2011-01-12T00:00:00Z
full work available at URL: http://hdl.handle.net/10467/62407
review text: In [\textit{P. G. Ovchinnikov}, ``On alternative orthomodular posets'', Demonstr. Math. 27, No.~1, 89--93 (1994; Zbl 0808.03046)], a certain class of orthomodular posets was introduced as a common generalization of orthomodular posets and orthomodular lattices. The author has developed another common generalisation of them (orthomodular posets with maximality property) in [``Conditions that force an orthomodular poset to be a Boolean algebra'', Tatra Mt. Math. Publ. 10, 55--62 (1997; Zbl 0915.06003)] and several subsequent papers. In the paper under review, connections between both kinds of generalization are presented. One of the conclusions is that they are not comparable.
reviewed by: Jānis Cīrulis
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 03G12
zbMATH DE Number: 5835420
zbMATH Keywords: effect algebra
zbMATH Keywords: maximality property
zbMATH Keywords: orthomodular posets
zbMATH Keywords: orthomodular lattices
MaRDI profile type: Publication
OpenAlex ID: W1967744994
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DOI: 10.1007/S10773-009-0108-9
description: scientific article; zbMATH DE number 5835420