Article (Scientific journals)
A description of n-ary semigroups polynomial-derived from integral domains
Marichal, Jean-Luc; Mathonet, Pierre
2011In Semigroup Forum
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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 ternary semigroups.
Disciplines :
Mathematics
Author, co-author :
Marichal, Jean-Luc;  University of Luxembourg > FSTC > Mathematics Research Unit
Mathonet, Pierre ;  University of Luxembourg > FSTC > Mathematics Research Unit
Language :
English
Title :
A description of n-ary semigroups polynomial-derived from integral domains
Publication date :
2011
Journal title :
Semigroup Forum
ISSN :
0037-1912
eISSN :
1432-2137
Publisher :
Springer
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 20 May 2011

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