1 citations · 2 across the 5 of their papers we have counts for
7 papers
Auslander-Reiten and Huneke-Wiegand conjectures over quasi-fiber product rings
T. H. Freitas, V. H. Jorge PÉrez, R. Wiegand +1
In this paper we explore consequences of the vanishing of for finitely generated modules over a quasi-fiber product ring ; that is, is a local ring such that $R/…
Vanishing of Tor over fiber products
Thiago H. Freitas, Victor Hugo Jorge Pérez, Roger Wiegand +1
Let and be local rings, and let denote their fiber product over their common residue field . Inspired by work of Naseh and Sather-W…
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).…