Journal
SEMIGROUP FORUM
Volume 83, Issue 2, Pages 241-249Publisher
SPRINGER
DOI: 10.1007/s00233-011-9295-9
Keywords
n-ary semigroup; n-ary group; Associativity; Polynomial function
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Funding
- University of Luxembourg [F1R-MTH-PUL-09MRDO]
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We provide a complete classification of the n-ary semigroup structures defined by polynomial functions over infinite commutative integral domains with identity, thus generalizing Gazek and Gleichgewicht's classification of the corresponding ternary semigroups.
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