16 citations · 35 across the 24 of their papers we have counts for
4 papers · 1 filter
Jaffard families and localizations of star operations
Dario Spirito
We generalize the concept of localization of a star operation to flat overrings; subsequently, we investigate the possibility of representing the set of star ope…
A topological version of Hilbert's Nullstellensatz
Carmelo A. Finocchiaro, Marco Fontana, Dario Spirito
We prove that the space of radical ideals of a ring , endowed with the hull-kernel topology, is a spectral space, and that it is canonically homeomorphic to the space of the non…
Star operations on numerical semigroups: antichains and explicit results
Dario Spirito
We introduce an order on the set of non-divisorial ideals of a numerical semigroup , and link antichains of this order with the star operations on ; subsequently, we use this…
Spectral spaces of semistar operations
Carmelo A. Finocchiaro, Marco Fontana, Dario Spirito
We investigate, from a topological point of view, the classes of spectral semistar operations and of eab semistar operations, following methods recently introduced by Finocchiaro a…