A lattice-theoretical approach to extensions of filters in algebras of substructural logic

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F22%3A10251285" target="_blank" >RIV/61989100:27510/22:10251285 - isvavai.cz</a>
Result on the web
<a href="http://jahla.hatef.ac.ir/article_136625.html" target="_blank" >http://jahla.hatef.ac.ir/article_136625.html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.52547/HATEF.JAHLA.3.1.2" target="_blank" >10.52547/HATEF.JAHLA.3.1.2</a>

Result language
angličtina
Original language name
A lattice-theoretical approach to extensions of filters in algebras of substructural logic
Original language description
Commutative bounded integral residuated lattices (residutaed lattices, in short) form a large class of algebras containing algebras which are algebraic counterparts of certain propositional fuzzy logics. The paper deals with the so-called extended filters of filters of residuated lattices. It is used the fact that the extended filters of filters associated with subsets coincide with those associated ones with corresponding filters. This makes it possible to investigate the set of all extended filters of residuated lattices within the Heyting algebras of their filters by means of the structural methods of the theory of such algebras.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
Journal of algebraic hyperstructures and logical algebras
ISSN
2676-6000
e-ISSN
2676-6019
Volume of the periodical
3
Issue of the periodical within the volume
1
Country of publishing house
IR - IRAN, ISLAMIC REPUBLIC OF
Number of pages
10
Pages from-to
5-14
UT code for WoS article
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EID of the result in the Scopus database
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