Model theory of finite-by-Presburger Abelian groups and finite extensions of $p$-adic fields

We define a class of pre-ordered abelian groups that we call finite-by-Presburger groups, and prove that their theory is model-complete. We show that certain quotients of the multiplicative group of a local field of characteristic zero are finite-by-Presburger and interpret the higher residue rings...

ver descrição completa

Detalhes bibliográficos
Principais autores: Derakhshan, J, Macintyre, A
Formato: Journal article
Publicado em: Cornell University 2016