Free Abelian Groups and Homomorphisms

Related lectures (31)

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

Explores the concept of category theory, providing examples and discussing the opposite category concept.

Covers polygonal performance, homomorphisms, and the Klein bottle in topology.

Explores the Mayer-Vietoris sequence, exact homomorphisms, embedded spheres, and path-connected spaces.

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

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

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

Introduces metric spaces, topology, and continuity, emphasizing the importance of open sets and the Hausdorff property.

Covers the properties of Euclidean spaces, focusing on R^n and its applications in analysis.

Covers exact sequences, torsion, divisibility, and operations on abelian groups.