Lectures related to Direct Sum of Subgroups

Explores the arithmetic of direct sums in group theory, discussing conditions for equality.

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.

Delves into direct sums of abelian groups, showcasing their coproduct properties and universal verification.

Demonstrates the existence of direct sums of abelian groups and covers propositions and proofs related to their uniqueness.

Covers the existence and uniqueness of direct sums in abelian groups.

Covers Cauchy's theorem, classification of finite abelian groups, direct product properties, and more.

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

Explores direct sums in abelian groups, emphasizing existence and uniqueness.