Keywords
supersimple theories
difference-differential fields
definable goups
abelian groups
teoría de modelos de cuerpos
teorías supersimples
cuerpos diferenciales de diferencia
grupos definibles
grupos abelianos
How to Cite
Abstract
E. Hrushovski proved that the theory of difference-differential fields of characteristic zero has a model-companion. We denote it DCFA. In this paper we study definable abelian groups in a model of DCFA. First we prove that such a group is embeddable on an algebraic group. Then, we study one-basedeness, stability and stable embeddability of abelian definable groups.
References
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