Tense Operators on Basic Algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F11%3A33116588" target="_blank" >RIV/61989592:15310/11:33116588 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10773-011-0748-4" target="_blank" >http://dx.doi.org/10.1007/s10773-011-0748-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-011-0748-4" target="_blank" >10.1007/s10773-011-0748-4</a>

Result language
angličtina
Original language name
Tense Operators on Basic Algebras
Original language description
The concept of tense operators on a basic algebra is introduced. Since basic algebras can serve as an axiomatization of a many-valued quantum logic (see e. g. Chajda et al. in Algebra Univer. 60(1):63-90, 2009), these tense operators are considered to quantify time dimension, i. e. one expresses the quantification "it is always going to be the case that" and the other expresses "it has always been the case that". We set up the axiomatization and basic properties of tense operators on basic algebras andinvolve a certain construction of these operators for left-monotonous basic algebras. Finally, we relate basic algebras with tense operators with another quantum structures which are the so-called dynamic effect algebras.
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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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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