Title: Galois theory for semiclones
Language: English
Authors: Behrisch, Mike
Category: Research Article
Forschungsartikel
Issue Date: 2016
Journal: Algebra universalis
ISSN: 1420-8911
Abstract: 
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.
Keywords: iterative algebra; semiclone; relation pair clone; Galois theory
DOI: 10.1007/s00012-016-0407-y
Library ID: AC11361248
URN: urn:nbn:at:at-ubtuw:3-2867
Organisation: E104 - Institut für Diskrete Mathematik und Geometrie 
Publication Type: Article
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