The group of homomorphisms of abelian torsion groups

[摘要] LetGandAbe abelian torsion groups. In[5], R. S. Pierce develops a complete set of invariants forHom(G, A). To compute these invariants he introduces, and uses extensively, the group of small homomorphisms ofGintoA. Also, using some of Pierce's methods, Fuchs characterizes this group in [1]. Our purpose in this paper is to characterizeHom(G, A)in what seems to be a more natural manner than either of the treatments just mentioned.

[学科分类] 数学（综合）