4 papers
Groups definable in partial differential fields with an automorphism
Ronald F. Bustamante Medina, Zoé Chatzidakis, Samaria Montenegro
In this paper we study groups definable in existentially closed partial differential fields of characteristic 0 with an automorphism which commutes with the derivations. In particu…
Zilber's Dichotomy for Differentially Closed Fields with an Automorphism
Ronald F. Bustamante Medina
The theory of difference-differential fields of characteristic zero has a model-companion denoted by . Previously we proved a weak version of Zilber's dichotomy for $\it…
Definable Groups in DCFA
Ronald F. Bustamante Medina
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 Theory of Differentially Closed Fields with a Generic Automorphism
Ronald F. Bustamante Medina
E. Hrushovski proved tha the theory of difference-differential fields has a model companion. We prove this result and other maind properties of this theory that we call DCFA. We de…