Fractal construction of an atomic Archimedean effect algebra with non-atomic subalgebra of sharp elements
type: Item
instance of: scholarly article
zbMATH Open document ID: 1261.06017
author: Vladimir Olejček
publication date: 2012-09-04T00:00:00Z
full work available at URL: https://eudml.org/doc/246312
full work available at URL: http://www.kybernetika.cz/content/2012/2/294
Mathematics Subject Classification ID: 06D35
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 06C15
zbMATH DE Number: 6076229
zbMATH Keywords: Archimedean effect algebra
zbMATH Keywords: lattice effect algebra
zbMATH Keywords: MV-algebra
zbMATH Keywords: sharp element
MaRDI profile type: Publication
cites work: Q2762622
cites work: Effect algebras and unsharp quantum logics.
cites work: Conditional states and independence in D-posets
cites work: Q5446612
cites work: Q3085429
cites work: Q5389772
cites work: Some Aspects of Lattice and Generalized Prelattice Effect Algebras
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title: Fractal construction of an atomic Archimedean effect algebra with non-atomic subalgebra of sharp elements
published in: Kybernetika
review text: In the paper [Kybernetika 43, No. 3, 343--346 (2007; Zbl 1149.06006)], the author demonstrated that there are atomic MV-effect algebras with a non-atomic subalgebra of sharp elements, but the presented example was a non-Archimedean lattice effect algebra. Now, an Archimedean example is presented.
reviewed by: Jānis Cīrulis
description: scientific article; zbMATH DE number 6076229