Level:
Graduate
Instructors:
The universal mapping property (UMP) of the residue class ring. (Image by MIT OpenCourseWare.)
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.