Reference : Closed classes of functions, generalized constraints and clusters
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/3234
Closed classes of functions, generalized constraints and clusters
English
Lehtonen, Erkko mailto [Tampere University of Technology, Finland]
2010
Algebra Universalis
Springer
63
2-3
203-234
Yes (verified by ORBilu)
International
0002-5240
[en] function algebra ; closed set ; generalized constraint ; cluster ; Galois connection
[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.
http://hdl.handle.net/10993/3234
10.1007/s00012-010-0071-6
The final publication is available at www.springerlink.com.

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