Commutative Algebra

The UMP of the residue class ring.

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

Instructor(s)

MIT Course Number

18.705

As Taught In

Fall 2008

Level

Graduate

Cite This Course

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.

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


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