Primary Decomposition: Understanding Schemes

Related lectures (32)

Page 3 of 4

Covers the concept of primary and secondary ideals, focusing on uniqueness and invariance properties.

Covers radical ideals, Nullstellensatz, primary ideals, and algebraic sets.

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

Explores irreducible algebraic sets and their unique decomposition into components, with a focus on prime ideals and plane subsets classification.

Covers algebraic subsets of A^1 and ideals with a finite set of points.

Explores separable extensions and Dedekind rings, focusing on coefficients and prime ideals.

Covers the concept of ideals in polynomial rings and their properties.

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

Covers the concept of localization and ideals in rings, focusing on extended and contracted ideals, integral extensions, and monic equations.

Explores irreducible factors, Noetherian rings, ideal stability, and unique factorization in rings.