Groups definable in partial differential fields with an automorphism

 

Sparad:
Bibliografiska uppgifter
Författarna: Bustamante Medina, Ronald F., Chatzidakis, Zoé, Montenegro Guzmán, Samaria
Materialtyp: artículo preliminar
Utgivningstid:2021
Beskrivning: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 particular, we study Zariski dense definable subgroups of simple algebraic groups, and show an analogue of Phyllis Cassidy’s result for partial differential fields. We also show that these groups have a smallest definable subgroup of finite index.
Land:Kérwá
Organisation:Universidad de Costa Rica
Repositorio:Kérwá
Språk:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/87504
Länkar:https://arxiv.org/abs/2104.10632
https://hdl.handle.net/10669/87504
Nyckelord:Model Theory
Differential Fields
Difference Fields
Logic
Algebraic Groups
LÓGICA
ALGEBRA
MODELO MATEMÁTICO
MATEMÁTICAS