Regular local ring

Related lectures (32)

Page 2 of 4

Explains the proof of Corollary 2 of the Green Theorem in a regular domain.

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

Explores the Fubini theorem for integrability in two variables and emphasizes the significance of the order of integration.

Demonstrates the relationship between the gradient and the divergence of a scalar field.

Covers surface integrals, divergence theorem, and regular domains in 2D and 3D.

Covers the concepts of regularity and Noetherian local rings in algebraic structures.

Introduces Lie algebras, vector spaces with a special bracket operation.

Explores boundaries, normal vectors, and Green's theorem application in transforming integrals.

Covers the calculation of volumes of subsets in R^3 using double integrals.

Covers local Noetherian rings, integrally closed domains, discrete valuations, and fraction fields.