Effect algebras with a full set of states-Reference-Cited by-同舟云学术

Effect algebras with a full set of states

Published:2016-08-01 Issue:4 Volume:66 Page:767-772
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Chajda Ivan¹

Affiliation:

1. Department of Algebra and Geometry, Faculty of Science, Palacký University, 17. listopadu 12, 771 46 Olomouc, Czech Republic

Abstract

Abstract It is shown that every effect algebra with a full set of states can be represented as a so-called numerical algebra introduced in the paper. For numerical algebras there are introduced tense operators which indicate dynamical changes of quantum events depending on variability of states. These operators enable to recognize an effect algebra with a full set of states as a temporal logic where events are quantified by these tense operators. The problem of representation of tense operators on a given numerical algebra is solved.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2015-0178/pdf

Reference9 articles.

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5. Dorfer, G.—Dorninger, D.—Länger, H.: On the structure of numerical event spaces, Kybernetika (Prague) 46 (2010), 971–981.