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

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...

書目詳細資料
Main Authors:	Derakhshan, J, Macintyre, A
格式:	Journal article
出版:	Cornell University 2016

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