Submission date: 31 October 2020

Abstract:

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

Keywords and phrases:

Full text arXiv 2011.00280: pdf, ps.