Structure of AlgebrasCovers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Rings and Modules: Lecture 1Covers rings, modules, exact sequences, and finitely generated modules in the context of Noetherian and Artinian properties.
Tensor Product: Bilinear MapsCovers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.
Rings and ModulesCovers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.
Localization in AlgebraCovers the concept of localization in algebra, focusing on making a ring multiplicative closed.
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.
