Carmelo Antonio Finocchiaro

most citedThe constructible topology on spaces of valuation domains

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AC2012★ 1 cited

The constructible topology on spaces of valuation domains

Carmelo Finocchiaro, Marco Fontana, K. Alan Loper

We consider properties and applications of a compact, Hausdorff topology called the "ultrafilter topology" defined on an {\sl arbitrary spectral space} and we observe that this top…

math.AC2012

Ultrafilter and Constructible topologies on spaces of valuation domains

Carmelo A. Finocchiaro, Marco Fontana, K. Alan Loper

Let $K$ be a field and let $A$ be a subring of $K$ . We consider properties and applications of a compact, Hausdorff topology called the "ultrafilter topology" defined on the space…

math.AC2010

Star-Invertibility and $t$ -finite character in Integral Domains

Carmelo Antonio Finocchiaro, Giampaolo Picozza, Francesca Tartarone

Let $A$ be an integral domain. We study new conditions on families of integral ideals of $A$ in order to get that $A$ is of $t$ -finite character (i.e., each nonzero element of $A$ …

The constructible topology on spaces of valuation domains

Ultrafilter and Constructible topologies on spaces of valuation domains

Star-Invertibility and t-finite character in Integral Domains

Star-Invertibility and $t$ -finite character in Integral Domains