David E. Rush

activity

20072016

collaborators

Showing math.ACShow all

4 papers · 1 filter

math.AC2016

A note on Itoh (e)-Valuation Rings of and Ideal

Youngsu Kim, Louis J. Ratliff, David E. Rush

Let $I$ be a regular proper ideal in a Noetherian ring $R$ , let $e \geq 2$ be an integer, let $T_{e} = R [u, t I, u^{\frac{1}{e}}]^{'} \cap R [u^{\frac{1}{e}}, t^{\frac{1}{e}}]$ (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

Projectively full ideals in Noetherian rings, a survey

Catalin Ciuperca, William Heinzer, Jack Ratliff +1

We discuss projective equivalence of ideals in Noetherian rings and the existence or failure of existence of projectively full ideals. We describe connections with the Rees valuati…

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…