Hom Functor: Abelian Groups

This lecture focuses on the Hom functor, which studies the group of homomorphisms from one abelian group to another. The lecture explains how this group is naturally endowed with an abelian group structure, defined in terms of the addition in the target group. It explores the relationship between the Hom functor and direct sums, providing insights into the properties and applications of homomorphisms in the context of abelian groups.