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

preprint2016arXivOpen access

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

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

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Finite Extensions of Zmax\mathbb{Z}_\mathrm{max}Zmax​

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