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arXiv · 1904.11586

Definable Groups in DCFA

Ronald F. Bustamante Medina
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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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Ronald F. Bustamante Medina. 2019-04-25. Definable Groups in DCFA. https://arxiv.org/abs/1904.11586

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