Structure of AlgebrasCovers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Lie Algebra: Group TheoryExplores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Analytical Study of SpaceExplores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Algebra: Fundamental TheoremCovers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.
Group Algebra: Maschke's TheoremExplores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Topology of AdelesCovers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.
Rings and FieldsExplores rings, fields, ideals, and their properties in algebraic structures.
