3 citations · 7 across the 12 of their papers we have counts for
14 papers
Gluing Associated Prime Ideals of Small Height
S. Loepp, Liz Ostermeyer
Let be a local (Noetherian) ring and suppose that has associated prime ideals where . We identify sufficient conditions for there to exist a local (Noetherian…
Completions of Countable Excellent Local Rings in Equal Characteristic Zero
B. Baily, S. Loepp
We characterize which complete local (Noetherian) rings T containing the rationals are the completion of a countable excellent local ring S. We also discuss the possibilities for t…
Every Finite Poset is Isomorphic to a Saturated Subset of the Spectrum of a Noetherian UFD
Cory H. Colbert, S. Loepp
We show that every finite poset is isomorphic to a saturated subset of the spectrum of a Noetherian unique factorization domain. In addition, we show that every finite poset is iso…
Gluing Minimal Prime Ideals in Local Rings
Cory H. Colbert, S. Loepp
Let be a reduced local (Noetherian) ring with maximal ideal . Suppose that contains the rationals, is uncountable and . Let the minimal prime ideals o…
Completions of Uncountable Local Rings with Countable Spectra
S. Loepp, Teresa Yu
We find necessary and sufficient conditions for a complete local (Noetherian) ring to be the completion of an uncountable local (Noetherian) domain with a countable spectrum. Our r…
Completions of Countable Excellent Domains and Countable Noncatenary Domains
S. Loepp, Teresa Yu
We find necessary and sufficient conditions for a complete local ring containing the rationals to be the completion of a countable excellent local (Noetherian) domain. Furthermore,…