Article (Scientific journals)
A description of n-ary semigroups polynomial-derived from integral domains
Marichal, Jean-Luc; Mathonet, Pierre
2011In Semigroup Forum, 83 (2), p. 241-249
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Keywords :
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 center :
Mathematics Research Unit
Disciplines :
Mathematics
Identifiers :
UNILU:UL-ARTICLE-2011-405
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
Language :
English
Title :
A description of n-ary semigroups polynomial-derived from integral domains
Publication date :
October 2011
Journal title :
Semigroup Forum
ISSN :
1432-2137
Publisher :
Springer, New York, United States - New York
Volume :
83
Issue :
2
Pages :
241-249
Peer reviewed :
Peer Reviewed verified by ORBi
Name of the research project :
F1R-MTH-PUL-09MRDO > MRDO > 01/01/2009 - 31/12/2011 > MARICHAL Jean-Luc
Funders :
University of Luxembourg - UL
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since 14 May 2013

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