DETERMINATION OF ABELIAN GROUPS AND MODULUSES BY GROUPS AND MODULUSES OF HOMOMORPHISMS

Abstract

The problem investigation of the isomorphism of abelian groups and p-adical moduluses with isomorphic groups and moduluses of homomorphisms is the aim of the paper. As a result classes of abelian groups and p-adical moduluses, which are determined by groups (moduluses) of homomorphisms, have been indicated. The structure of the Hom (A,B) homomorphism group for a quite expanding abelian group without A torsion and a homogeneous expanding abelian group without B torsion has been describedAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio