Primary Decomposition in Rings

Related lectures (32)

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

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Explores operations on ideals and structure theorems in commutative rings.

Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.

Explores polynomials, their operations, and the concept of ideals in polynomial rings.

Covers the proof of theorem 4.2 on multiplicities and the special structure of local rings at a simple point of a plane.

Explores the calculation of generators of ideals and their significance in mathematical operations.

Explores Chinese idempotent constructions and their properties, including ideals and product characterization.

Explores idempotent elements, central orthogonal elements, commutative rings, and prime ideals in non-central rings.

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

Explores the properties and applications of polynomials on a field, including formal derivation and uniqueness.

Covers rings and modules, emphasizing color codes and homological algebra concepts.

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