English

On associative operations on commutative integral domains

Rings and Algebras 2020-10-14 v1

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 nn-semigroups.

Keywords

Cite

@article{arxiv.1908.02009,
  title  = {On associative operations on commutative integral domains},
  author = {Erkko Lehtonen and Florian Starke},
  journal= {arXiv preprint arXiv:1908.02009},
  year   = {2020}
}

Comments

5 pages

R2 v1 2026-06-23T10:40:40.266Z