S. Loepp

collaborators

2 papers

math.AC2023

Gluing Associated Prime Ideals of Small Height

S. Loepp, Liz Ostermeyer

Let $B$ be a local (Noetherian) ring and suppose that $B$ has $n$ associated prime ideals where $n \geq 2$ . We identify sufficient conditions for there to exist a local (Noetherian…

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…