International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 396475, 9 pages
Research Article

Endomorphisms and Product Bases of the Baer-Specker Group

College of Engineering and Science, University of Detroit Mercy, Detroit, MI 48221-3038, USA

Received 31 March 2009; Revised 29 July 2009; Accepted 12 August 2009

Academic Editor: Dorothy Wallace

Copyright © 2009 E. F. Cornelius Jr. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The endomorphism ring of the group of all sequences of integers, the Baer-Specker group, is isomorphic to the ring of row finite infinite matrices over the integers. The product bases of that group are represented by the multiplicative group of invertible elements in that matrix ring. All products in the Baer-Specker group are characterized, and a lemma of László Fuchs regarding such products is revisited.