Lectures related to Algebraic Subsets of A^1

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Explores the concept of fractions of rings and their uniqueness in ideals and quotients.

Explores Galois theory with a focus on Dedekind rings and their unique factorization of fractional ideals.

Explores affine algebraic varieties, emphasizing the Zariski Topology and regular functions.

Covers the proof of theorem 4.2 on multiplicities and the special structure of local rings at a simple point of a plane.

Covers primary decomposition in Noetherian ideals and unique primary ideals.

Explores rings, fields, ideals, and their properties in algebraic structures.

Explores operations on ideals and structure theorems in commutative rings.

Covers the concept of prime ideals and local rings, emphasizing their importance.

Covers the concept of algebraic quotients in the context of a-variety.