Our understanding of the first-order theory of the class of all local rings Z/p^nZ as p and n vary comes from the Ax-Kochen-Ershov analysis of the rings of p-adic integers. This analysis does not directly produce axioms. In this paper we give fairly explicit axioms for the class.
Model theory of some local rings
D'Aquino, P.;
2017
Abstract
Our understanding of the first-order theory of the class of all local rings Z/p^nZ as p and n vary comes from the Ax-Kochen-Ershov analysis of the rings of p-adic integers. This analysis does not directly produce axioms. In this paper we give fairly explicit axioms for the class.File in questo prodotto:
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