Algebraic Geometry: Localization and Prime Ideals

Related lectures (52)

Covers linear representations, isomorphism, G modules, and classification of representations of C star and C plus.

Covers the properties of Euclidean domains and irreducible elements in polynomial rings.

Covers free resolution of modules and projective modules in module theory.

Explores solvability by radicals in Galois theory and the Galois/Abel criterion for solvability.

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.

Explores the Riemann zeta function, its properties, applications, and analogies in number theory and algebraic geometry.

Covers the operations and properties of rings, focusing on ideals and quotients.

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

Explores the concept of variety defined as the closure of VCA and its applications in algebraic geometry.

Introduces affine varieties and covers morphisms between them and their coordinate rings.

Covers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.

Explores solutions of the 2018 exam, finite fields, group theory, congruences, and polynomial irreducibility in Q[X].

Page 3 of 3