3 papers
math.AC2026
Interval Rings
William Heinzer, K. Alan Loper, Bruce Olberding +1
Interval rings comprise a class of one-dimensional integrally closed local integral domains which are overrings of a two-dimensional regular local ring. We construct them by inters…
math.AC2025
Realization of spaces of commutative rings
Laura Cossu, Bruce Olberding
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 commu…
math.AC2024
Connectedness and integrally closed local overrings of two-dimensional regular local rings
William Heinzer, K. Alan Loper, Bruce Olberding +1
Let be a two-dimensional regular local ring. We prove there is a one-to-one correspondence between closed connected sets in the space of valuation overrings of that dominat…