Vol. 29, No. 1, 1969

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On Krull overrings of an affine ring

William James Heinzer

Vol. 29 (1969), No. 1, 145–149

By an overring of an integral domain A we mean a ring which contains A and is contained in the quotient field of A. We consider the following question. If D is a Krull overring of an affine ring A is D necessarily Noetherian? Our main result is an affirmative answer to this question when A is a normal affine ring of dimension two defined over a field or pseudogeometric Dedekind domain such that each localization of A has torsion class group.

Mathematical Subject Classification
Primary: 13.15
Received: 26 February 1968
Published: 1 April 1969
William James Heinzer