1 citations · 1 across the 5 of their papers we have counts for
6 papers
Examples of non-Noetherian domains inside power series rings
William Heinzer, Christel Rotthaus, Sylvia Wiegand
Let R* be an ideal-adic completion of a Noetherian integral domain R and let L be a subfield of the total quotient ring of R* such that L contains R. Let A denote the intersection…
Formal Fibers of Prime Ideals in Polynomial Rings
William Heinzer, Christel Rotthaus, Sylvia Wiegand
Let (R,m) be a Noetherian local domain of dimension n that is essentially finitely generated over a field and let R^ denote the m-adic completion of R. Matsumura has shown that n-1…
Excellent Normal Local Domains and Extensions of Krull Domains
William Heinzer, Christel Rotthaus, Sylvia Wiegand
We consider properties of extensions of Krull domains such as flatness that involve behavior of extensions and contractions of prime ideals. Let (R,m) be an excellent normal local…
Generic fiber rings of mixed power series/polynomial rings
William Heinzer, Christel Rotthaus, Sylvia Wiegand
Let K be a field, m and n positive integers, and X = {x_1,...,x_n}, and Y = {y_1,..., y_m} sets of independent variables over K. Let A be the polynomial ring K[X] localized at (X).…
Integral closures of ideals in completions of regular local domains
William Heinzer, Christel Rotthaus, Sylvia Wiegand
In this paper we exhibit an example of a three-dimensional regular local domain (A, n) having a height-two prime ideal P with the property that the extension PA^ of P to the n-adic…
Open loci of graded modules
Christel Rotthaus, Liana M. Sega
Let $A=\oplus_{i\in \nn}A_i$ be an excellent homogeneous Noetherian graded ring and let $M=\oplus_{n\in \zz}M_n$ be a finitely generated graded -module. We consider as a mod…