<div class="csl-bib-body">
<div class="csl-entry">Chajda, I., & Länger, H. (2022, August 29). <i>Filters and congruences in sectionally pseudocomplemented lattices and posets</i> [Conference Presentation]. Summer School on General Algebra and Ordered Sets 2022, Hotel Sorea Titris, Tatranská Lomnica, Vysoké Tatry, Slovakia. http://hdl.handle.net/20.500.12708/80504</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/80504
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dc.description.abstract
Together with J. Paseka we introduced so-called sectionally pseudocomplemented lattices and posets and illuminated their role in algebraic constructions. We believe that - similar to relatively pseudocomplemented lattices - these structures can serve as an algebraic semantics of certain intuitionistic logics. The aim of the present paper is to define congruences and filters in these structures, derive mutual relationships between them and describe basic properties of congruences in strongly sectionally pseudocomplemented posets. For the description of filters both in sectionally pseudocomplemented lattices and posets, we use the tools introduced by A. Ursini, i.e. ideal terms and the closedness with respect to them. It seems to be of some interest that a similar machinery can be applied also for strongly sectionally pseudocomplemented posets in spite of the fact that the corresponding ideal terms are not everywhere defined.
en
dc.language.iso
en
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dc.subject
Sectionally pseudocomplemented lattice, sectionally pseudocomplemented poset, filter, congruence, weak regularity, congruence permutability, Maltsev term, ideal term, closedness of a subset, congruence class, deductive system, partial term
en
dc.title
Filters and congruences in sectionally pseudocomplemented lattices and posets
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.contributor.affiliation
Palacký University Olomouc, Czechia
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dc.type.category
Conference Presentation
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tuw.researchTopic.id
X1
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tuw.researchTopic.name
Beyond TUW-research foci
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tuw.researchTopic.value
100
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tuw.publication.orgunit
E104 - Institut für Diskrete Mathematik und Geometrie
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tuw.author.orcid
0000-0003-3840-3879
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tuw.event.name
Summer School on General Algebra and Ordered Sets 2022
en
dc.description.sponsorshipexternal
Austrian Science Fund
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dc.description.sponsorshipexternal
Czech Science Foundation
-
dc.description.sponsorshipexternal
OeAD-GmbH
-
dc.description.sponsorshipexternal
IGA
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dc.relation.grantnoexternal
I 4579-N
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dc.relation.grantnoexternal
20-09869L
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dc.relation.grantnoexternal
CZ 02/2019
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dc.relation.grantnoexternal
PrF 2021 030
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tuw.event.startdate
28-08-2022
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tuw.event.enddate
02-09-2022
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.place
Hotel Sorea Titris, Tatranská Lomnica, Vysoké Tatry
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tuw.event.country
SK
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tuw.event.institution
Mathematical Institute of the Slovak Academy of Sciences
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tuw.event.presenter
Länger, Helmut
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dc.relation.ispreviousversionof
10.1007/s00500-021-05900-4
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tuw.event.track
Single Track
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
100
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item.cerifentitytype
Publications
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item.fulltext
no Fulltext
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item.languageiso639-1
en
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item.openairetype
conference paper not in proceedings
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item.openairecristype
http://purl.org/coar/resource_type/c_18cp
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item.grantfulltext
none
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crisitem.author.dept
Palack� University Olomouc
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crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie
