Variable-basis categorically-algebraic dualities

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Variable-basis categorically-algebraic dualities

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Variable-basis categorically-algebraic dualities

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/EE2.3.20.0051" target="_blank" >EE2.3.20.0051: Algebraické metody v kvantové logice</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Fuzzy Information and Engineering

ISSN

1616-8658

e-ISSN

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Svazek periodika

6

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

33

Strana od-do

393-425

Kód UT WoS článku

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EID výsledku v databázi Scopus

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