G. Peruginelli

activity

20112026

most citedIntegral-valued polynomials over the set of algebraic integers of bounded degree

18 citations · 206 across the 29 of their papers we have counts for

collaborators

Showing 2015Show all

5 papers · 1 filter

math.NT2015★ 10 cited

Adelic versions of the Weierstrass approximation theorem

Jean-Luc Chabert, Giulio Peruginelli

Let $E = \prod_{p \in P} E_{p}$ be a compact subset of $Z = \prod_{p \in P} Z_{p}$ and denote by $\mathcal C(\underline{E},\widehat{\mat…

math.NT2015★ 8 cited

Galois structure on integral valued polynomials

Bahar Heidaryan, Matteo Longo, Giulio Peruginelli

We characterize finite Galois extensions $K$ of the field of rational numbers in terms of the rings $Int_{Q} (O_{K})$ , recently introduced by Loper and Werner,…

math.RA2015★ 17 cited

Properly Integral Polynomials over the Ring of Integer-valued Polynomials on a Matrix Ring

Giulio Peruginelli, Nicholas J. Werner

Let $D$ be a domain with fraction field $K$ , and let $M_{n} (D)$ be the ring of $n \times n$ matrices with entries in $D$ . The ring of integer-valued polynomials on the matrix ring $M…

math.AC2015★ 12 cited

Polynomial overrings of $Int (Z)$

Jean-Luc Chabert, Giulio Peruginelli

We show that every polynomial overring of the ring $Int (Z)$ of polynomials which are integer-valued over $Z$ may be considered as the ring of polynomials whic…

math.AC2015★ 2 cited

The lattice of primary ideals of orders in quadratic number fields

Giulio Peruginelli, Paolo Zanardo

Let $O$ be an order in a quadratic number field $K$ with ring of integers $D$ , such that the conductor $F = f D$ is a prime ideal of $O$ , where $f \in Z$ is a prime…