Explores the concept of direct sums in abelian groups, emphasizing the universal property and homomorphisms.
Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.
Covers quotients in abelian groups and the concept of free abelian groups, showing that every abelian group is isomorphic to a quotient of a free abelian group.
Explores chain complexes, abelian groups, homomorphisms, homology groups, and free abelian groups.
