AbstractWe 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
The notion of an o-minimal expansion of the ordered field of real numbers was invented by L van den ...
AbstractSemialgebraic sets (subsets of Rn defined by polynomial inequalities) and (discontinuous) se...
We establish the first global results for groups definable in tame expansions of o-minimal structure...
Motivation for the study of partially ordered abelian groups has come from many different parts of m...
120 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.We define the Grothendieck se...
120 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.We define the Grothendieck se...
In this paper, we first show that in a definably complete locally o-minimal expansion of an ordered ...
We define a Grothendieck ring of varieties with finite groups actions and show that the orbifold Eul...
Let R be a noetherian ring, and G(R) the Grothendieck group of finitely generated modules over R. Fo...
AbstractLet R be a noetherian ring, and G(R) the Grothendieck group of finitely generated modules ov...
Dress A. Induction and structure theorems for Grothendieck and Witt rings of orthogonal representati...
We consider an almost o-minimal expansion of an ordered group $\mathcal M=(M,<,+,0,\ldots)$ and its ...
The group first defined by Grothendieck for his work on preschemes [2] can be generalized to arbitra...
AbstractWe study Grothendieck rings (in the sense of model theory) of fields, extending previous wor...
AbstractWe study subgroups G of GL(n,R) definable in o-minimal expansions M=(R,+,·,…) of a real clos...
The notion of an o-minimal expansion of the ordered field of real numbers was invented by L van den ...
AbstractSemialgebraic sets (subsets of Rn defined by polynomial inequalities) and (discontinuous) se...
We establish the first global results for groups definable in tame expansions of o-minimal structure...
Motivation for the study of partially ordered abelian groups has come from many different parts of m...
120 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.We define the Grothendieck se...
120 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.We define the Grothendieck se...
In this paper, we first show that in a definably complete locally o-minimal expansion of an ordered ...
We define a Grothendieck ring of varieties with finite groups actions and show that the orbifold Eul...
Let R be a noetherian ring, and G(R) the Grothendieck group of finitely generated modules over R. Fo...
AbstractLet R be a noetherian ring, and G(R) the Grothendieck group of finitely generated modules ov...
Dress A. Induction and structure theorems for Grothendieck and Witt rings of orthogonal representati...
We consider an almost o-minimal expansion of an ordered group $\mathcal M=(M,<,+,0,\ldots)$ and its ...
The group first defined by Grothendieck for his work on preschemes [2] can be generalized to arbitra...
AbstractWe study Grothendieck rings (in the sense of model theory) of fields, extending previous wor...
AbstractWe study subgroups G of GL(n,R) definable in o-minimal expansions M=(R,+,·,…) of a real clos...
The notion of an o-minimal expansion of the ordered field of real numbers was invented by L van den ...
AbstractSemialgebraic sets (subsets of Rn defined by polynomial inequalities) and (discontinuous) se...
We establish the first global results for groups definable in tame expansions of o-minimal structure...
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