Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Loepp, S."'
Autor:
Ehrenworth, Jackson, Loepp, S.
Let $T$ be a local (Noetherian) ring and let $Q_1$ and $Q_2$ be prime ideals of $T$. We find sufficient conditions for there to exist a quasi-excellent local subring $B$ of $T$ satisfying the following conditions: (1) the completion of $B$ at its max
Externí odkaz:
http://arxiv.org/abs/2407.04497
Autor:
Bonat, Alexandra, Loepp, S.
We demonstrate a class of local (Noetherian) unique factorization domains (UFDs) that are noncatenary at infinitely many places. In particular, if $A$ is in our class of UFDs, then the prime spectrum of $A$ contains infinitely many disjoint (except a
Externí odkaz:
http://arxiv.org/abs/2402.16549
Autor:
Loepp, S., Simpson, Austyn
We construct a local Noetherian splinter (in fact, a weakly $F$-regular domain) in prime characteristic which is not catenary, which we view as an analogue of a theorem of Ogoma in equal characteristic zero. Moreover, we construct a weakly $F$-regula
Externí odkaz:
http://arxiv.org/abs/2401.00925
Let $T$ be a complete local (Noetherian) ring of characteristic zero. We find necessary and sufficient conditions for $T$ to be the completion of a quasi-excellent local domain. In the case that $T$ contains the rationals, we provide necessary and su
Externí odkaz:
http://arxiv.org/abs/2310.00479
Autor:
Loepp, S., Ostermeyer, Liz
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) subring $S$ of $B$ such that $S$ and $B$ have the same completion an
Externí odkaz:
http://arxiv.org/abs/2308.01357
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 the map from the minimal prime ideals of T to the minimal prime ideals
Externí odkaz:
http://arxiv.org/abs/2208.04934
Autor:
Colbert, Cory H., Loepp, S.
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 isomorphic to a saturated subset of the spectrum of a quasi-excellent dom
Externí odkaz:
http://arxiv.org/abs/2206.02867
Autor:
Colbert, Cory H., Loepp, S.
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 of $B$ be partitioned into $m \geq 1$ subcollections $C_1, \ldots ,C_m$
Externí odkaz:
http://arxiv.org/abs/2112.13278
Autor:
Loepp, S., Yu, Teresa
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 results suggest that uncountable local domains with countable spectra a
Externí odkaz:
http://arxiv.org/abs/2005.08964