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On associative operations on commutative integral domains

Lehtonen, Erkko; Starke, Florian

Semigroup Forum, 100 (2020), 910–915
http://doi.org/10.1007/s00233-019-10044-x

We describe the associative multilinear polynomial functions over commutative integral domains. This extends Marichal and Mathonet's result on infinite integral domains and provides a new proof of Andres's classification of two-element n-semigroups.