Grothendieck rings of o-minimal expansions of ordered abelian groups

Details Grothendieck rings of o-minimal expansions of ordered abelian groups Grothendieck rings of o-minimal expansions of ordered abelian groups

2005-05-16

arxiv.org/abs/math/0505341v1

Mathematics

Logic

to appear J. Algebra

Scientific paper

We will calculate completely the Grothendieck rings, in the sense of first
order logic, of o-minimal expansions of ordered abelian groups by introducing
the notion of the bounded Euler characteristic.

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