The universal mapping property (UMP) of the residue class ring. (Image by MIT OpenCourseWare.)
Instructor(s)
Prof. Steven Kleiman
MIT Course Number
18.705
As Taught In
Fall 2008
Level
Graduate
Course Description
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.