Definable Groups in DCFA

Published 25 Apr 2019 in math.LO | (1904.11586v1)

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 groups in a model of DCFA. First we prove that such a group is embeds on an algebraic group. Then we study 1-basedeness, stability and stable embeddability of abelian definable groups.

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Authors (1)

Ronald F. Bustamante Medina

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