Variable-basis categorically-algebraic dualities
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00078896" target="_blank" >RIV/00216224:14310/14:00078896 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.fie.2015.01.001" target="_blank" >http://dx.doi.org/10.1016/j.fie.2015.01.001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fiae.2015.01.001" target="_blank" >10.1016/j.fiae.2015.01.001</a>
Alternative languages
Result language
angličtina
Original language name
Variable-basis categorically-algebraic dualities
Original language description
The manuscript continues our study on developing a categorically-algebraic (catalg) analogue of the theory of natural dualities of D. Clark and B. Davey, which provides a machinery for obtaining topological representations of algebraic structures. The new setting differs from its predecessor in relying on catalg topology, introduced lately by the author as a new approach to topological structures, which incorporates the majority of both crisp and many-valued developments, ultimately erasing the border between them. Motivated by the variable-basis lattice-valued extension of the Stone representation theorems done by S. E. Rodabaugh, we have recently presented a catalg version of the Priestley duality for distributive lattices, which gave rise (as in theclassical case) to a fixed-basis variety-based approach to natural dualities. In this paper, we extend the theory to variable-basis, whose setting is completely different from the respective one of S. E.
Czech name
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Czech description
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Classification
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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Result continuities
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)
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fuzzy Information and Engineering
ISSN
1616-8658
e-ISSN
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Volume of the periodical
6
Issue of the periodical within the volume
4
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
33
Pages from-to
393-425
UT code for WoS article
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EID of the result in the Scopus database
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