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...
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| Médium: | Journal article |
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Cornell University
2016
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