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 2016Show all

3 papers · 1 filter

math.AC2016★ 10 cited

Transcendental extensions of a valuation domain of rank one

Giulio Peruginelli

Let $V$ be a valuation domain of rank one and quotient field $K$ . Let $K^$ be a fixed algebraic closure of the $v$ -adic completion $K^$ of $K$ and let $\overlin…

math.RA2016★ 8 cited

Decomposition of integer-valued polynomial algebras

Giulio Peruginelli, Nicholas J. Werner

Let $D$ be a commutative domain with field of fractions $K$ , let $A$ be a torsion-free $D$ -algebra, and let $B$ be the extension of $A$ to a $K$ -algebra. The set of integer-valued…

math.RA2016★ 12 cited

Non-triviality Conditions for Integer-valued Polynomial Rings on Algebras

G. Peruginelli, N. J. Werner

Let $D$ be a commutative domain with field of fractions $K$ and let $A$ be a torsion-free $D$ -algebra such that $A \cap K = D$ . The ring of integer-valued polynomials on $A$ with c…