有限特征的Grothendieck环
A Grothendieck ring of finite characteristic
摘要：
对每一个整数$N\in\mathbb{N}^*$，构造了一个其Grothendieck环同构于$(\mathbb{Z}/N\mathbb{Z})[X]$的结构，从而证明了具有非零特征的非零Grothendieck环的结构的存在性.也就是说，该结构由集合和该集合中的$N$点的补之间的无圈双射组成。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
