Local ring

Related lectures (30)

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

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

Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.

Discusses irreducible factors in rings and the properties of Noetherian rings.

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

Covers the concept of localization in algebra, focusing on making a ring multiplicative closed.

Covers defining morphisms between affine algebraic varieties and constructing morphisms using algebraic homomorphisms.

Explores implicit differentiation and the Implicit Function Theorem for finding unique functions locally.

Explores harmonic oscillators, pendulum movement, and spherical coordinates in physics.

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

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