Pivotal decomposition schemes inducing clones of operations

Reference : Pivotal decomposition schemes inducing clones of operations


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/31952

Title :	Pivotal decomposition schemes inducing clones of operations
Language :	English
Author, co-author :	Couceiro, Miguel [> >]
	Teheux, Bruno [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	Mar-2018
Journal title :	Beitraege zur Algebra und Geometrie = Contributions to Algebra and Geometry
Volume :	59
Issue/season :	1
Pages :	25-40
Peer reviewed :	Yes
Audience :	International
Keywords :	[en] 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.
Name of the research project :	R-AGR-0500 > MRO3 > 01/03/2015 - 28/02/2018 > MARICHAL Jean-Luc
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/31952
DOI :	10.1007/s13366-017-0354-6

File(s) associated to this reference

Fulltext file(s):

	File	Commentary	Version	Size	Access
Open access	Clone-Pivotal-Paper-REVISEDV02.pdf		Author postprint	273.58 kB	View/Open

All documents in ORBi^lu are protected by a user license.