Noetherian ring

Related lectures (32)

Page 3 of 4

Covers Cartier divisors, invertible sheaves, and their properties in algebraic geometry.

Introduces Noetherian modules and explores simple modules and composition series.

Explores algebraic geometry, focusing on rings, bodies, quotient rings, and irreducible polynomials.

Explores discrete valuation rings, their properties, uniqueness of representation, and relationship with principal ideal domains.

Covers coordinate rings, closed embeddings, and operations on affine varieties.

Explores homogeneous ideals, regular rings, N-graded rings, and closed sets in projective geometry.

Covers the properties of finite dimensional algebras and non-semisimple representations.

Explores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.

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

Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.