On tense MV-algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33156850" target="_blank" >RIV/61989592:15310/15:33156850 - isvavai.cz</a>
Alternative codes found
RIV/00216224:14310/15:00085225
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S016501141400270X" target="_blank" >http://www.sciencedirect.com/science/article/pii/S016501141400270X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2014.06.006" target="_blank" >10.1016/j.fss.2014.06.006</a>

Result language
angličtina
Original language name
On tense MV-algebras
Original language description
The main aim of this article is to study tense MV-algebras which are just MV-algebras with new unary operations G and H which express a universal time quantifiers. Tense MV-algebras were introduced by D. Diaconescu and G. Georgescu. Using a new notion ofan fm-function between MV-algebras we settle a half of their Open problem about representation for some classes of tense MV-algebras, i.e., we show that any tense semisimple MV-algebra is induced by a time frame analogously to classical works in this field of logic. As a by-product we obtain a new characterization of extremal states on MV-algebras. Our method gives a general framework for representing functions with the so-called Jauch-Piron property (including MV-morphisms) between MV-algebras. (C) 2014 Elsevier B.V. All rights reserved.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/EE2.3.20.0051" target="_blank" >EE2.3.20.0051: Algebraic methods in Quantum Logic</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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