Definable groups in DCFA

 

Enregistré dans:
Détails bibliographiques
Auteur: Bustamante-Medina, Ronald F.
Format: artículo original
Statut:Versión publicada
Date de publication:2019
Description: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.
Pays:Portal de Revistas UCR
Institution:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Langue:Inglés
OAI Identifier:oai:portal.ucr.ac.cr:article/33639
Accès en ligne:https://revistas.ucr.ac.cr/index.php/matematica/article/view/33639
Mots-clés:model theory of fields
supersimple theories
difference-differential fields
definable goups
abelian groups
teoría de modelos de cuerpos
teorías supersimples
cuerpos diferenciales de diferencia
grupos definibles
grupos abelianos