From Hom(A,X) Hom(B,X) to A B
From Hom(A,X) Hom(B,X) to A B
Let A and B be two R-modules. We examine conditions under which Hom(A,X) ? Hom(B,X), implies that A ? B, where X belongs to an appropriate class of R-modules. Different perspectives of the question are studied. In the case of abelian groups (Z-modules), this investigation gives a partial answer to …