Explains the factorisation of ideals in a Dedekind ring using prime ideals and covers ramification index, residual fields, inertia degree, and properties of Dedekind rings.
Explores rings, domains, fields, and ideals, with a focus on constructions and properties.
Explores irreducible algebraic sets and their unique decomposition into components, with a focus on prime ideals and plane subsets classification.
Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Covers the proof of theorem 4.2 on multiplicities and the special structure of local rings at a simple point of a plane.
