Category of abelian groups

Related lectures (31)

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

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

Explores character representations in group repetition theory, discussing irreducibility, equivalence, and associated values.

Explores group operations with cyclic properties and the universal ownership of quotients.

Explores the concept of abelian groups and their group homomorphisms.

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

Explores the fourth property of p-Sylow subgroups in abelian groups.

Explores fundamental properties of groups and numbers, emphasizing equivalence classes and subgroup concepts.

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

Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.