<div class="csl-bib-body">
<div class="csl-entry">Wachtel, A., Behrisch, M., & Vargas-García, E. (2025, June 22). <i>All minimal clones generated by {0,1}-valued majority operations on a five-element set</i> [Conference Presentation]. AAA 107 - 107th Workshop on General Algebra, Bern, Switzerland. http://hdl.handle.net/20.500.12708/216989</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/216989
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dc.description.abstract
Minimal clones have been a challenging topic in algebra for a long time. Every minimal clone is generated by each of its non-trivial functions. A non-trivial function 𝑓 ∈ 𝐹∖𝓙𝐴 of minimum possible arity in a minimal clone 𝐹 is called a minimal function. In this talk we focus on identifying minimal majority operations 𝑓：𝐴³ → 𝐴 satisfying 𝑓(𝑥,𝑥,𝑦) = 𝑓(𝑥,𝑦,𝑥) = 𝑓(𝑦,𝑥,𝑥) = 𝑥 for all 𝑥, 𝑦 ∈ 𝐴 = {0, 1, 2, 3, 4} on a five-element set with values in {0, 1} on the injective triples that generate a minimal clone. Finally, we count the number of majority operations in the generated minimal clones.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
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dc.subject
minimal clone
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dc.subject
{0,1}-valued majority operation
en
dc.subject
cyclically symmetric majority operation
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dc.title
All minimal clones generated by {0,1}-valued majority operations on a five-element set
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.contributor.affiliation
Instituto Tecnológico Autónomo de México, Mexico
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dc.contributor.affiliation
Instituto Tecnológico Autónomo de México, Mexico
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dc.relation.grantno
PIN5424624
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dc.type.category
Conference Presentation
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tuw.project.title
Orthogonalität und Symmetrie
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tuw.researchTopic.id
C5
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tuw.researchTopic.id
A3
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tuw.researchTopic.name
Computer Science Foundations
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tuw.researchTopic.name
Fundamental Mathematics Research
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tuw.researchTopic.value
5
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tuw.researchTopic.value
95
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tuw.publication.orgunit
E104-01 - Forschungsbereich Algebra
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tuw.author.orcid
0000-0002-6317-787X
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tuw.author.orcid
0000-0003-0050-8085
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tuw.author.orcid
0000-0001-9677-9087
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tuw.event.name
AAA 107 - 107th Workshop on General Algebra
en
tuw.event.startdate
20-06-2025
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tuw.event.enddate
22-06-2025
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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
Bern
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tuw.event.country
CH
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tuw.event.institution
Bern University of Applied Sciences (BFH-W)
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tuw.event.presenter
Wachtel, Andreas
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dc.relation.ispreviousversionof
10.1109/ISMVL64713.2025.00042
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tuw.event.track
Single Track
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wb.sciencebranch
Informatik
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1020
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
5
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wb.sciencebranch.value
95
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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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item.cerifentitytype
Publications
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item.fulltext
no Fulltext
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crisitem.author.dept
Instituto Tecnológico Autónomo de México
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crisitem.author.dept
E104-01 - Forschungsbereich Algebra
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crisitem.author.dept
Instituto Tecnológico Autónomo de México
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crisitem.author.orcid
0000-0002-6317-787X
-
crisitem.author.orcid
0000-0003-0050-8085
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crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
