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

Title:

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

Creator:

Riečanová, Zdenka

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:bdbd117c-4f6c-4498-9615-ea21f4515abd
uuid:bdbd117c-4f6c-4498-9615-ea21f4515abd

Subject:

non-classical logics, effect algebras, MV-algebras, blocks, and states

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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 state, which can be obtained by "State Smearing Theorem'' from a state on its sharp elements.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[430]-440

Source:

Kybernetika | 2008 Volume:44 | Number:3

Harvested from:

CDK

Metadata only:

false