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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…