Vol. 30, No. 2, 1969

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 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
An embedding theorem for lattice-ordered fields

Paul F. Conrad and John Dauns

Vol. 30 (1969), No. 2, 385–398
Abstract

In this paper we develop a method for constructing latticeordered fields (“-fields”) which are not totally ordered (“o-fields”) and hence are not f-rings. We show that many of these fields admit a Hahn type embedding into a field of formal power series with real coefficients. In order to establish such an embedding we make use of the valuation theory for abelian -groups and prove the “well known” fact that each o-field can be embedded in an o-field of formal power series.

Mathematical Subject Classification
Primary: 12.70
Secondary: 06.00
Milestones
Received: 15 April 1968
Published: 1 August 1969
Authors
Paul F. Conrad
John Dauns