Maximal Chains of Prime Ideals of Different Lengths in Unique Factorization Domains

S. Loepp, Alex Semendinger

We show that, given integers $n_1,n_2,\dots ,n_k$ with $2<n_1<n_2<\cdots <n_k$, there exists a local (Noetherian) unique factorization domain that has maximal chains of pr…