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Preprint Number 1870

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1870. Esther Elbaz
A Grothendieck ring of finite characteristic

Submission date: 31 October 2020


We construct, for every integer N in ℕ^*, a structure whose Grothendieck ring is isomorphic to (ℤ/Nℤ)[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.

Mathematics Subject Classification: Primary 03C07, Secondary 03C10, 03C98, 08C10

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Full text arXiv 2011.00280: pdf, ps.

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