An atomic MV-effect algebra with non-atomic center

Vladimír Olejček

Displaying similar documents to “An atomic MV-effect algebra with non-atomic center”

The existence of states on every Archimedean atomic lattice effect algebra with at most five blocks

Zdena Riečanová (2008)

Kybernetika

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Effect algebras are very natural logical structures as carriers of probabilities and states. They were introduced for modeling of sets of propositions, properties, questions, or events with fuzziness, uncertainty or unsharpness. Nevertheless, there are effect algebras without any state, and questions about the existence (for non-modular) are still unanswered. We show that every Archimedean atomic lattice effect algebra with at most five blocks (maximal MV-subalgebras) has at least one...

Every uniformly Archimedean atomic MV-effect algebra is sharply dominating

Vladimír Olejček (2010)

Kybernetika

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Following the study of sharp domination in effect algebras, in particular, in atomic Archimedean MV-effect algebras it is proved that if an atomic MV-effect algebra is uniformly Archimedean then it is sharply dominating.

Archimedean atomic lattice effect algebras in which all sharp elements are central

Zdena Riečanová (2006)

Kybernetika

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We prove that every Archimedean atomic lattice effect algebra the center of which coincides with the set of all sharp elements is isomorphic to a subdirect product of horizontal sums of finite chains, and conversely. We show that every such effect algebra can be densely embedded into a complete effect algebra (its MacNeille completion) and that there exists an order continuous state on it.