Definable Groups in DCFA
Logic
2019-04-29 v1
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.
Keywords
Cite
@article{arxiv.1904.11586,
title = {Definable Groups in DCFA},
author = {Ronald F. Bustamante Medina},
journal= {arXiv preprint arXiv:1904.11586},
year = {2019}
}
Comments
11 pages