Groups definable in partial differential fields with an automorphism

 

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Библиографические подробности
Авторы: Bustamante Medina, Ronald F., Chatzidakis, Zoé, Montenegro Guzmán, Samaria
Формат: artículo preliminar
Дата публикации:2021
Описание: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.
Страна:Kérwá
Институт:Universidad de Costa Rica
Repositorio:Kérwá
Язык:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/87504
Online-ссылка:https://arxiv.org/abs/2104.10632
https://hdl.handle.net/10669/87504
Ключевое слово:Model Theory
Differential Fields
Difference Fields
Logic
Algebraic Groups
LÓGICA
ALGEBRA
MODELO MATEMÁTICO
MATEMÁTICAS