Definable Additive Subgroups of Partial Differential Fields of Characteristic Zero with an Automorphism

 

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Автор: Bustamante Medina, Ronald F.
Формат: documento de trabajo
Дата публикации:2020
Описание:Abstract.The theory of partial differential fields of characteristic zero withan automorphism has a model companion denoted DCFmA. This theory isnot complete, but its completions are easily discribed. They are supersimpleand eliminate imaginaries. In this paper we prove that the definable subgroupsif the additive group of a model of DCFmA are not 1-based and we study theprolongations and arc spaces of the diagonal subgroups.
Страна:Kérwá
Институт:Universidad de Costa Rica
Repositorio:Kérwá
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/81763
Online-ссылка:https://hdl.handle.net/10669/81763
Ключевое слово:model theory of fields
supersimple theories
difference-differential fields
definable groups
abelian groups