Group Direct Sums in Group Theory

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Free Abelian Groups: Group Theory

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

Abelian Groups: Free Abelian Groups

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

Relation between Direct Sum and Hom

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

Functor Hom: Abelian Groups

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

Group Theory: Free Abelian Groups

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

Groups: Definitions, Properties, and Homomorphisms

Introduces the basic concepts of groups, including definitions, properties, and homomorphisms, with a focus on subgroup properties and normal subgroups.

Representation Theory: Algebras and Homomorphisms

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Endomorphisms and automorphisms of totally disconnected locally compact groups V

Explores endomorphisms and automorphisms of totally disconnected locally compact groups, emphasizing surjective homomorphisms and free abelian groups.

Finite Cas X and Notations

Introduces Lemma 1.14 for finite sets in Ab and discusses notations and properties of direct sums.

Direct Products in Group Theory

Explores direct products in group theory, including semi-direct products and group properties.