Dario Spirito

activity

20232026

collaborators

4 papers

math.AC2026

The reciprocal complement of a surface

Dario Spirito

We study the reciprocal complement $R (D)$ of a two-dimensional finitely generated $K$ -algebra $D$ by linking it with the properties of a surface with coordinate ring $D$ .…

math.AC2026

Groups of invertible ideals of one-dimensional Prüfer domains as groups of integer-valued functions

Dario Spirito

Let $G$ be a one-dimensional $ℓ$ -subgroup of the group $F (X, Z)$ of integer-valued functions on a set $X$ . We show that $G$ is free under some hypothesis on th…

math.AC2024

Radical factorization in higher dimension

Dario Spirito

We generalize the theory of radical factorization from almost Dedekind domain to strongly discrete Prüfer domains; we show that, for a fixed subset $X$ of maximal ideals, the finit…

math.AC2023

Free groups of ideals

Dario Spirito

We study the freeness of the group $Inv (D)$ of invertible ideals of an integral domain $D$ , and the freeness of some related groups of (fractional) ideals. We study the re…