Motivated by recent work on the use of topological methods to study collections of rings
between an integral domain and its quotient field, we examine spaces of subrings of a …

Let F be a field, and let k be a subring of F. The Zariski-Riemann space X of F∕ k is the set
of valuation rings of F∕ k endowed with the Zariski topology. With a sheaf of rings defined in …

Given an arbitrary spectral space $ X $, we endow it with its specialization order $\leq $ and
we study the interplay between suprema of subsets of $(X,\leq) $ and the constructible …

Let $ D $ be an integral domain and $ L $ be a field containing $ D $. We study the isolated
points of the Zariski space $\mathrm {Zar}(L| D) $, with respect to the constructible topology …

When the Zariski space is a Noetherian space Page 1 When the Zariski space is a Noetherian
space Dario Spirito .............................................................................. Abstract We characterize when …

We study the properties of some distinguished subspaces of the Zariski space Zar (K| D) of a
field F over a domain D, in particular the topological properties of subspaces defined …