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

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

2010-11-29

arxiv.org/abs/1011.6291v2

Semigroup Forum 83 (2) (2011) 241-249

Mathematics

Rings and Algebras

Scientific paper

10.1007/s00233-011-9295-9

We provide a complete classification of the n-ary semigroup structures
defined by polynomial functions over infinite commutative integral domains with
identity, thus generalizing G{\l}azek and Gleichgewicht's classification of the
corresponding ternary semigroups.

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