Vol. 93, No. 1, 1981

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Power series rings over discrete valuation rings

Jimmy T. Arnold

Vol. 93 (1981), No. 1, 31–33
Abstract

If V is a discrete valuation ring with Krull dimension m, it is shown that the power series ring V [[x1,,xn]] has Krull dimension mn + 1.

Mathematical Subject Classification 2000
Primary: 13F25
Secondary: 13A18
Milestones
Received: 19 March 1980
Revised: 25 August 1980
Published: 1 March 1981
Authors
Jimmy T. Arnold