Vol. 29, No. 3, 1969

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 325: 1
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Vol. 320: 1  2
Vol. 319: 1  2
Vol. 318: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
Power series rings over a Krull domain

Robert William Gilmer, Jr.

Vol. 29 (1969), No. 3, 543–549
Abstract

Let D be a Krull domain and let {Xλ}λΛ be a set of indeterminates over D. This paper shows that each of three “rings of formal power series in {Xλ} over D” are also Krull domains; also, some relations between the structure of the set of minimal prime ideals of D and the set of minimal prime ideals of these rings of formal power series are established.

Mathematical Subject Classification
Primary: 13.93
Milestones
Received: 27 March 1968
Published: 1 June 1969
Authors
Robert William Gilmer, Jr.