Local Rings and ResiduesCovers the proof of theorem 4.2 on multiplicities and the special structure of local rings at a simple point of a plane.
Isotypic DecompositionCovers the isotopic decomposition of modules into simple components and their properties.
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.
Rings and Modules: Lecture 1Covers rings, modules, exact sequences, and finitely generated modules in the context of Noetherian and Artinian properties.
