Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.
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.
Covers the concept of ideals in polynomial rings and their properties.
Explores the concept of fractions of rings and their uniqueness in ideals and quotients.
Explores the calculation of generators of ideals and their significance in mathematical operations.
