Commutative Algebra
As taught in: Fall 2008
The universal mapping property (UMP) of the residue class ring. (Image by MIT OpenCourseWare.)
Instructors:
Prof. Steven Kleiman
MIT Course Number:
18.705
Level:
Graduate
Course Features
Course Description
In this course students will learn about Noetherian rings and modules, Hilbert basis theorem, Cayley-Hamilton theorem, integral dependence, Noether normalization, the Nullstellensatz, localization, primary decomposition, DVRs, filtrations, length, Artin rings, Hilbert polynomials, tensor products, and dimension theory.
