Prof. Steven Kleiman
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.
Kleiman, Steven. 18.705 Commutative Algebra, Fall 2008. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-705-commutative-algebra-fall-2008 (Accessed). License: Creative Commons BY-NC-SA