ON A PROPERTY OF ABELIAN GROUPS RELATED TO DIRECT SUMS AND PRODUCTS

摘要

Let T be an infinite set of prime numbers, M be a set of groups {Z(p) | p ∈ T}. An Abelian group A is said to be Ai-large if Hom(A,(☉)_p∈T Z(p))=Hom(A,∏_p∈T Z(p)). This paper presents a characterization of M-large torsion-free and mixed groups.