Explores rings, fields, ideals, and their properties in algebraic structures.
Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
Covers the proof of theorem 4.2 on multiplicities and the special structure of local rings at a simple point of a plane.
Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.
Covers the concept of ideals in polynomial rings and their properties.
