A description of n-ary semigroups polynomial-derived from integral domains

Reference : A description of n-ary semigroups polynomial-derived from integral domains


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/1460

Title :	A description of n-ary semigroups polynomial-derived from integral domains
Language :	English
Author, co-author :	Marichal, Jean-Luc [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
	Mathonet, Pierre [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	Oct-2011
Journal title :	Semigroup Forum
Publisher :	Springer
Volume :	83
Issue/season :	2
Pages :	241-249
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0037-1912
e-ISSN :	1432-2137
City :	New York
Country :	NY
Keywords :	[en] n-ary semigroup ; n-ary group ; associativity ; polynomial function
Abstract :	[en] We provide a complete classification of the n-ary semigroup structures defined by polynomial functions over infinite commutative integral domains with identity, thus generalizing Glazek and Gleichgewicht's classification of the corresponding ternary semigroups.
Research centres :	Mathematics Research Unit
Funders :	University of Luxembourg - UL
Name of the research project :	F1R-MTH-PUL-09MRDO > MRDO > 01/01/2009 - 31/12/2011 > MARICHAL Jean-Luc
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/1460
DOI :	10.1007/s00233-011-9295-9
Other URL :	http://arxiv.org/abs/1011.6291

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