C. Colbert

activity

20182024

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Showing 2021Show all

2 papers · 1 filter

math.AC2021

Gluing Minimal Prime Ideals in Local Rings

Cory H. Colbert, S. Loepp

Let $B$ be a reduced local (Noetherian) ring with maximal ideal $M$ . Suppose that $B$ contains the rationals, $B / M$ is uncountable and $∣ B ∣ = ∣ B / M ∣$ . Let the minimal prime ideals o…

math.AC2021

A Structural Invariant On Certain Two-Dimensional Noetherian Partially Ordered Sets

Cory Colbert

If $(X, \leq_{X})$ is a partially ordered set satisfying certain necessary conditions for $X$ to be order-isomorphic to the spectrum of a Noetherian domain of dimension two, we descri…