Reference : Polynomial functions over bounded distributive lattices
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/1213
Polynomial functions over bounded distributive lattices
English
Couceiro, Miguel mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2012
Journal of Multiple-Valued Logic & Soft Computing
Old City Publishing, Inc.
18
3-4
247-256
Yes (verified by ORBilu)
International
1542-3980
Philadelphia
PA
[en] Distributive lattice ; polynomial function ; normal form ; functional equation
[en] Let $L$ be a bounded distributive lattice. We give several characterizations of those $L^n \to L$ mappings that are polynomial functions, i.e., functions which can be obtained from projections and constant functions using binary joins and meets. Moreover, we discuss the disjunctive normal form representations of these polynomial functions.
Mathematics Research Unit
University of Luxembourg - UL
F1R-MTH-PUL-12RDO2 > MRDO2 > 01/02/2012 - 31/01/2015 > MARICHAL Jean-Luc
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/1213

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