# R-modules

Suppose R is a ring, G, M are R-modules and Hom(G,M) is the set of R-module homomorphisms from G to M.

Identify Hom(Z/nZ,Z), Hom(Z,Z/nZ), Hom(Z/3Z,Z/6Z), Hom(Z/10Z,Z/6Z) as abelian groups, where n belongs to Z and Z is the set of integers.

https://brainmass.com/math/ring-theory/r-modules-475822

#### Solution Summary

This solution demonstrates how to prove that a set of R-module homomorphisms are abelian groups.

$2.19