Closed classes of functions, generalized constraints and clusters

Reference : Closed classes of functions, generalized constraints and clusters


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/3234

Title :	Closed classes of functions, generalized constraints and clusters
Language :	English
Author, co-author :	Lehtonen, Erkko [Tampere University of Technology, Finland]
Publication date :	2010
Journal title :	Algebra Universalis
Publisher :	Springer
Volume :	63
Issue/season :	2-3
Pages :	203-234
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0002-5240
Keywords :	[en] function algebra ; closed set ; generalized constraint ; cluster ; Galois connection
Abstract :	[en] Classes of functions of several variables on arbitrary nonempty domains that are closed under permutation of variables and addition of dummy variables are characterized by generalized constraints, and hereby Hellerstein's Galois theory of functions and generalized constraints is extended to infinite domains. Furthermore, classes of operations on arbitrary nonempty domains that are closed under permutation of variables, addition of dummy variables, and composition are characterized by clusters, and a Galois connection is established between operations and clusters.
Permalink :	http://hdl.handle.net/10993/3234
DOI :	10.1007/s00012-010-0071-6
Mentions required by the publisher for OA :	The final publication is available at www.springerlink.com.

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