Covers the proof of theorem 4.2 on multiplicities and the special structure of local rings at a simple point of a plane.
Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
Explores the calculation of generators of ideals and their significance in mathematical operations.
Covers the concept of localization and ideals in rings, focusing on extended and contracted ideals, integral extensions, and monic equations.
Covers factorisation in PIDs, prime ideals, unique tuples, and common prime factors.
Covers the concept of ideals in polynomial rings and their properties.
