35 citations · 35 across the 4 of their papers we have counts for
5 papers
Smooth sequences and overring operators
Dario Spirito
We introduce smooth sequences of integral domains as well-ordered ascending chains that behave well at limit ordinals. Subsequently, we use this notion to give some conditions on t…
The reciprocal complement of a curve
Dario Spirito
We give a geometric interpretation of the reciprocal complement of an integral domain in the case is a one-dimensional finitely generated algebra over an algebraically clos…
Residual functions and divisorial ideals
Dario Spirito
We define a \emph{residual function} on a topological space as a function such that contains an open dense set, and we use this notio…
The complete integral closure of a Prüfer domain is a topological property
Dario Spirito
We show that the prime spectrum of the complete integral closure of a Prüfer domain is completely determined by the Zariski topology on the spectrum …
Some topological considerations on semistar operations
C. A. Finocchiaro, D. Spirito
We consider properties and applications of a new topology, called the Zariski topology, on the space of all the semistar operations on an integral domain . We p…