Regular local ring

Related lectures (32)

Page 3 of 4

Explores plane curves, focusing on singular points, multiplicities, and tangent lines.

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

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

Covers fundamental concepts in commutative algebra, including rings, units, zero divisors, and local rings.

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

Explores the Gauss theorem in R^n+1, covering regular domains, vector fields, surface integrals, and volume calculations.

Covers regular and smooth projective varieties, hypersurfaces, and algebraic dimensions.

Covers surface integrals, the divergence theorem, and Stocks' theorem through examples and analogies.

Explores the construction of the field of rational functions on a variety and its connection with local rings and dimensions.

Explores local rings, Noetherian rings, and minimal primes in the context of integral domains.