The final publication is available at Springer via <a href="https://doi.org/10.1007/s00500-016-2306-8" target="_blank">https://doi.org/10.1007/s00500-016-2306-8</a>.
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dc.description.abstract
For an algebra A belonging to a quasivariety K, the quotient A/Θ need not belong to K for every Θ∈Con A. The natural question arises for which Θ∈Con A,A/Θ∈K. We consider algebras A=(A,,1) of type (2, 0) where a partial order relation is determined by the operations and 1. Within these, we characterize congruences on A for which A/Θ belongs to the same quasivariety as A. In several particular cases, these congruences are determined by the property that every class is a convex subset of A.
en
dc.description.sponsorship
Austrian Science Fund (FWF)
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dc.description.sponsorship
Czech Science Foundation (GAČR)
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dc.language
English
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dc.language.iso
en
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dc.publisher
SPRINGER
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dc.relation.ispartof
Soft Computing
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.subject
Convex class
en
dc.subject
Convex congruence
en
dc.subject
Algebra with induced order
en
dc.subject
BCK-algebra
en
dc.subject
BCI-algebra
en
dc.title
Convex congruences
en
dc.type
Article
en
dc.type
Artikel
de
dc.rights.license
Creative Commons Namensnennung 4.0 International
de
dc.rights.license
Creative Commons Attribution 4.0 International
en
dc.description.startpage
5641
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dc.description.endpage
5645
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dc.relation.grantno
I 1923-N25
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dc.relation.grantno
15- L
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dc.rights.holder
The Author(s) 2016
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dc.type.category
Original Research Article
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tuw.container.volume
21
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tuw.journal.peerreviewed
true
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tuw.peerreviewed
true
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tuw.version
vor
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dcterms.isPartOf.title
Soft Computing
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tuw.publication.orgunit
E104 - Institut für Diskrete Mathematik und Geometrie
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tuw.publisher.doi
10.1007/s00500-016-2306-8
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dc.date.onlinefirst
2016-08
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dc.identifier.eissn
1433-7479
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dc.identifier.libraryid
AC11360168
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dc.description.numberOfPages
5
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dc.identifier.urn
urn:nbn:at:at-ubtuw:3-1944
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tuw.author.orcid
0000-0002-7030-4080
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dc.rights.identifier
CC BY 4.0
de
dc.rights.identifier
CC BY 4.0
en
wb.sci
true
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item.openaccessfulltext
Open Access
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item.grantfulltext
open
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item.cerifentitytype
Publications
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item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
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item.languageiso639-1
en
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item.openairetype
research article
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item.fulltext
with Fulltext
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crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie