A Grothendieck ring of finite characteristic

Esther Elbaz

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arXiv · 2011.00280

A Grothendieck ring of finite characteristic

Esther Elbaz

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Abstract

We construct, for every integer $N\in\mathbb{N}^*$, a structure whose Grothendieck ring is isomorphic to $(\mathbb{Z}/N\mathbb{Z})[X]$, thus proving the existence of structures with a non-zero Grothendieck ring with non-zero characteristic. Namely, this structure consists of the bijection without cycles between a set and a complement of $N$ points in this set.

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Esther Elbaz. 2020-10-31. A Grothendieck ring of finite characteristic. https://arxiv.org/abs/2011.00280

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