Abstrakt
Let A and B be two abelian groups. The group A is called B-small if the covariant functor Hom(A,-) commutes with all direct sums B() and A is self-small provided it is A-small. The paper characterizes self-small products applying developed closure properties of the classes of relatively small groups.
As a consequence, self-small products of finitely generated abelian groups are described.