Vol. 41, No. 2, 1972

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Isomorphic power series rings

M. J. O’Malley

Vol. 41 (1972), No. 2, 503–512
Abstract

Let A and B be commutative rings with identity, let X be an indeterminate over A and B, and let A[[X]] and B[[X]] be the formal power series rings over A and B, respectively. The motivation for this paper was to consider the analogue of a question raised by Coleman and Enochs for the polynomial ring. Specifically, the following question is considered: () If A[[X]]B[[X]], must AB? (The author knows no counterexample.)

Mathematical Subject Classification 2000
Primary: 13J05
Milestones
Received: 28 January 1971
Revised: 12 August 1971
Published: 1 May 1972
Authors
M. J. O’Malley