English

Finite Extensions of $\mathbb{Z}_\mathrm{max}$

Rings and Algebras 2016-08-23 v2

Abstract

We classify the semifields and division semirings containing the max-plus semifield Zmax\mathbb{Z}_\mathrm{max}, which are finitely generated as Zmax\mathbb{Z}_\mathrm{max}-semimodules.

Keywords

Cite

@article{arxiv.1406.1121,
  title  = {Finite Extensions of $\mathbb{Z}_\mathrm{max}$},
  author = {Jeffrey Tolliver},
  journal= {arXiv preprint arXiv:1406.1121},
  year   = {2016}
}
R2 v1 2026-06-22T04:30:48.127Z