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 2014Show all

3 papers · 1 filter

math.RA2014★ 4 cited

Idempotent pairs and PRINC domains

Giulio Peruginelli, Luigi Salce, Paolo Zanardo

A pair of elements $a, b$ in an integral domain $R$ is an idempotent pair if either $a (1 - a) \in b R$ , or $b (1 - b) \in a R$ . $R$ is said to be a PRINC domain if all the ideals generated…

math.RA2014★ 13 cited

The ring of polynomials integral-valued over a finite set of integral elements

G. Peruginelli

Let $D$ be an integral domain with quotient field $K$ and $Ω$ a finite subset of $D$ . McQuillan proved that the ring $Int (Ω, D)$ of polynomials in $K [X]$ which are integer-val…

math.AC2014★ 15 cited

Integral closure of rings of integer-valued polynomials on algebras

Giulio Peruginelli, Nicholas J. Werner

Let $D$ be an integrally closed domain with quotient field $K$ . Let $A$ be a torsion-free $D$ -algebra that is finitely generated as a $D$ -module. For every $a$ in $A$ we consider i…