3 papers
math.AC2016
A note on Itoh (e)-Valuation Rings of and Ideal
Youngsu Kim, Louis J. Ratliff, David E. Rush
Let be a regular proper ideal in a Noetherian ring , let be an integer, let (where…
math.AC2008
Compositions of consistent systems of rank one discrete valuation rings
William J. Heinzer, Louis J. Ratliff, David E. Rush
Let V be a rank one discrete valuation ring (DVR) on a field F and let L/F be a finite separable algebraic field extension with [L:F] = m. The integral closure of V in L is a Dedek…
math.AC2007
Projective equivalence of ideals in Noetherian integral domains
William J. Heinzer, Louis J. Ratliff, David E. Rush
Let I be a nonzero proper ideal in a Noetherian integral domain R. In this paper we establish the existence of a finite separable integral extension domain A of R and a positive in…