Vol. 41, No. 2, 1972

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 331: 1
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
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