Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
Covers the concept of ideals in polynomial rings and their properties.
Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.
Covers the proof of theorem 4.2 on multiplicities and the special structure of local rings at a simple point of a plane.
