International Journal of Mathematics and Mathematical Sciences
Volume 2 (1979), Issue 1, Pages 69-80
doi:10.1155/S0161171279000077
The group of homomorphisms of abelian torsion groups
Department of Mathematics, Moorhead State University, Moorhead 56560, Minnesota, USA
Received 10 February 1978
Copyright © 1979 M. W. Legg. 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.
Abstract
Let G and A be abelian torsion groups. In[5], R. S. Pierce develops a complete set of invariants for Hom(G, A). To compute these invariants he introduces, and uses extensively, the group of small homomorphisms of G into A. Also, using some of Pierce's methods, Fuchs characterizes this group in [1]. Our purpose in this paper is to characterize Hom(G, A) in what seems to be a more natural manner than either of the treatments just mentioned.