Hom Functor: Abelian Groups

Related lectures (31)

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Explores the Hom functor in Abelian groups, focusing on its construction and properties.

Explores abelian groups from a categorical perspective, discussing the coproduct construction.

Explores the concept of free abelian groups as an important left adjoint functor.

Explores direct sums in group theory, focusing on abelian groups and their implications.

Explores the concept of direct sums in abelian groups, emphasizing the universal property and homomorphisms.

Explores the isomorphism between Hom(A, B) and Hom(A, B) for any abelian group B.

Explores free abelian groups, homomorphisms, exact sequences, and functors in group theory.

Explores free abelian groups, homomorphisms, and exact sequences in group theory.

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

Explores divisibility and torsion in group theory, focusing on defining a functor that preserves divisibility.