Article (Scientific journals)
Pivotal decomposition schemes inducing clones of operations
Couceiro, Miguel; Teheux, Bruno
2018In Beitraege zur Algebra und Geometrie = Contributions to Algebra and Geometry, 59 (1), p. 25-40
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Keywords :
clone theory; pivotal decomposition
Abstract :
[en] We study pivotal decomposition schemes and investigate classes of pivotally decomposable operations. We provide sufficient conditions on pivotal operations that guarantee that the corresponding classes of pivotally decomposable operations are clones, and show that under certain assumptions these conditions are also necessary. In the latter case, the pivotal operation together with the constant operations generate the corresponding clone.
Disciplines :
Mathematics
Author, co-author :
Couceiro, Miguel
Teheux, Bruno ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
yes
Language :
English
Title :
Pivotal decomposition schemes inducing clones of operations
Publication date :
March 2018
Journal title :
Beitraege zur Algebra und Geometrie = Contributions to Algebra and Geometry
Volume :
59
Issue :
1
Pages :
25-40
Peer reviewed :
Peer reviewed
Name of the research project :
R-AGR-0500 - IRP15 - MRO3 (20150301-20181231) - MARICHAL Jean-Luc
Available on ORBilu :
since 22 August 2017

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