MIT OpenCourseWare | Mathematics | 18.705 Commutative Algebra, Fall 2008 | Home
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,
http://ocw.mit.edu/courses/mathematics/18-705-commutative-algebra-fall-2008