Geometric Primary Decomposition

Related lectures (30)

Page 2 of 3

Introduces Cartesian product and induction for proofs using integers and sets.

Explores affine varieties, hypersurfaces, dimension in algebraic geometry, minimal prime ideals, and local properties of plane curves.

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

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Explores primary decomposition in rings, focusing on primary ideals and their properties.

Covers the operations in rings, ideals, classes, and quotient rings.

Covers the interpretation and applications of symbolic powers in algebraic structures, focusing on Krull's Hauptideal Satz and Noetherian rings.

Explores Dedekind rings, integral extensions, and noetherian rings in algebraic structures.

Introduces fundamental concepts of linear algebra, focusing on sets and operations.

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