Vol. 104, No. 2, 1983

Recent Issues
Vol. 332: 1
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 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
Free products in the class of abelian l-groups

Wayne Bruce Powell and Constantine Tsinakis

Vol. 104 (1983), No. 2, 429–442
Abstract

The main objective of this paper is to present several constructions of free products in the class of abelian l-groups which are sufficiently concrete to allow for an in depth examination of their structure. Some applications of these constructions are discussed, and it is shown that abelian l-group free products satisfy the subalgebra property. Further, some questions on free l-groups over group free products are considered for a variety of l-groups which is either abelian or contains the representable l-groups. Finally, a general observation is made about countable chains and countable disjoint sets in free algebras.

Mathematical Subject Classification 2000
Primary: 06F20
Secondary: 06F25
Milestones
Received: 1 January 1981
Published: 1 February 1983
Authors
Wayne Bruce Powell
Constantine Tsinakis