Vol. 36, No. 3, 1971

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Vol. 299: 1  2
Vol. 298: 1  2
Vol. 297: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Editorial Board
Subscriptions
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
 
Other MSP Journals
Rings of quotients of Φ-algebras

Donald Glen Johnson

Vol. 36 (1971), No. 3, 693–699
Abstract

Let be a completely regular (Hausdorff) space. Fine, Gillman, and Lambek have studied the (generalized) rings of quotients of C() = C(;R), with particular emphasis on the maximal ring of quotients, Q(). In this note, we start with a characterization of Q() that differs only slightly from one of theirs. This characterization is easily altered to fit more general circumstances, and so serves to obtain some results on non-maximal rings of quotients of C(), and to generalize these results to the class of Φ-algebras.

Mathematical Subject Classification
Primary: 46.25
Secondary: 54.00
Milestones
Received: 13 April 1970
Published: 1 March 1971
Authors
Donald Glen Johnson