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Polynomial overrings of ${\rm Int}(\mathbb Z)$ by Chabert, Jean-Luc; Peruginelli, Giulio is a scholarly article available to read on EtoBox.

What is Polynomial overrings of ${\rm Int}(\mathbb Z)$ about?

We show that every polynomial overring of the ring ${\rm Int}(\mathbb Z)$ of polynomials which are integer-valued over $\mathbb Z$ may be considered as the ring of polynomials which are integer-valued over some subset of $\hat{\mathbb{Z}}$, the profinite completion of $\mathbb Z$ with respect to the fundamental system of neighbourhoods of $0$ consisting of all non-zero ideals of $\mathbb Z.$

Author

Chabert, Jean-Luc; Peruginelli, Giulio

Published

2015

Language

EN