Pseudocomplemented lattice effect algebras and existence of states
type: Item
instance of: scholarly article
title: Pseudocomplemented lattice effect algebras and existence of states
zbMATH Open document ID: 1166.03038
author: Z. Riečanová
published in: Information Sciences
publication date: 2009-04-03T00:00:00Z
review text: The author studies pseudocomplemented lattice effect algebras. In particular, it is shown that the set of sharp elements in a pseudocomplemented lattice effect algebra forms a Boolean algebra (with the inherited pseudocomplementation as an orthocomplementation) and that every pseudocomplemented complete atomic lattice effect algebra admits a state.
reviewed by: Josef Tkadlec
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 5539788
zbMATH Keywords: lattice effect algebra
zbMATH Keywords: atom
zbMATH Keywords: sharp element
zbMATH Keywords: pseudocomplement
zbMATH Keywords: state
MaRDI profile type: Publication
full work available at URL: j.ins.2008.07.019
OpenAlex ID: W2054859123
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DOI: 10.1016/J.INS.2008.07.019
description: scientific article; zbMATH DE number 5539788