Definable groups in DCFA

 

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Dettagli Bibliografici
Autore: Bustamante-Medina, Ronald F.
Natura: artículo original
Status:Versión publicada
Data di pubblicazione:2019
Descrizione: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.
Stato:Portal de Revistas UCR
Istituzione:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Lingua:Inglés
OAI Identifier:oai:portal.ucr.ac.cr:article/33639
Accesso online:https://revistas.ucr.ac.cr/index.php/matematica/article/view/33639
Access Level:acceso abierto
Keyword: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