Direct Sum of Abelian Groups

Related lectures (30)

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

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

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 arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.

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

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

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

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

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.