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arXiv · 1908.02009

On associative operations on commutative integral domains

Erkko Lehtonen·Florian Starke
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Abstract

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.

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Erkko Lehtonen, Florian Starke. 2019-08-06. On associative operations on commutative integral domains. https://doi.org/10.1007/s00233-019-10044-x

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