<div class="csl-bib-body">
<div class="csl-entry">Behrisch, M. (2016). Galois theory for semiclones. <i>Algebra Universalis</i>. https://doi.org/10.1007/s00012-016-0407-y</div>
</div>
We present a Galois theory connecting finitary operations with pairs of finitary relations, one of which is contained in the other. The Galois closed sets on both sides are characterised as locally closed subuniverses of the full iterative function algebra (semiclones) and relation pair clones, respectively. Moreover, we describe the modified closure operators if only functions and relation pairs of a certain bounded arity, respectively, are considered.
en
dc.language
English
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dc.language.iso
en
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dc.publisher
Birkhäuser
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Algebra Universalis
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.subject
iterative algebra
en
dc.subject
semiclone
en
dc.subject
relation pair clone
en
dc.subject
Galois theory
en
dc.title
Galois theory for semiclones
en
dc.type
Article
en
dc.type
Artikel
de
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Creative Commons Namensnennung 4.0 International
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Creative Commons Attribution 4.0 International
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dc.rights.holder
2016 The Author(s)
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dc.type.category
Original Research Article
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true
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vor
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Algebra Universalis
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E104 - Institut für Diskrete Mathematik und Geometrie
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tuw.publisher.doi
10.1007/s00012-016-0407-y
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dc.identifier.eissn
1420-8911
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AC11361248
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urn:nbn:at:at-ubtuw:3-2867
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0000-0003-0050-8085
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CC BY 4.0
de
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CC BY 4.0
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true
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en
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Publications
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Publications
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http://purl.org/coar/resource_type/c_18cf
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with Fulltext
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Open Access
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open
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Article
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Artikel
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E104-01 - Forschungsbereich Algebra
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0000-0003-0050-8085
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E104 - Institut für Diskrete Mathematik und Geometrie