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Title: Modular atomic effect algebras and the existence of subadditive states (English)
Author: Riečanová, Zdenka
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 40
Issue: 4
Year: 2004
Pages: [459]-468
Summary lang: English
Category: math
Summary: Lattice effect algebras generalize orthomodular lattices and $MV$-algebras. We describe all complete modular atomic effect algebras. This allows us to prove the existence of ordercontinuous subadditive states (probabilities) on them. For the separable noncomplete ones we show that the existence of a faithful probability is equivalent to the condition that their MacNeille complete modular effect algebra. (English)
Keyword: effect algebra
Keyword: modular atomic effect algebra
Keyword: subadditive state
Keyword: MacNeille completion of an effect algebra
MSC: 03G12
MSC: 06F99
MSC: 81P10
idZBL: Zbl 1249.03120
idMR: MR2102364
Date available: 2009-09-24T20:02:44Z
Last updated: 2015-03-23
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