Functor Hom: Abelian Groups

Related lectures (50)

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

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

Covers special cases in group theory, focusing on group actions and functors.

Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.

Provides an overview of categories, functors, and natural transformations in mathematics.

Covers the verification of constructions in the context of abelian groups and Sylow subgroups.

Covers the adjoints of the restriction functor in group theory.

Explores exact sequences of abelian group homomorphisms and provides examples.

Explores Cayley tables, group operations, homomorphisms, Lie groups, and differentiable groups.

Explores the restriction functor in group theory, focusing on its properties.

Explores the Hom functor for abelian groups and its relation to direct sums.

Explores operations on abelian groups, Homomorphisms, adjoints, and morphisms in group theory.

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

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

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

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

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

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

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

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