Vol. 111, No. 2, 1984

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n-generator ideals in Prüfer domains

Richard Gordon Swan

Vol. 111 (1984), No. 2, 433–446
Abstract

Heitmann has shown that a finitely generated ideal in a Prüfer domain of Krull dimension n needs at most n + 1 generators. I will show here that this result is, in fact, the best possible. The same is true for Heitmann’s stability theorems.

Mathematical Subject Classification 2000
Primary: 13F05
Secondary: 13A15, 13G05
Milestones
Received: 12 April 1982
Published: 1 April 1984
Authors
Richard Gordon Swan