88-813
               
Commutative algebra
A first course in graduate commutative algebra.
* You are welcome to download my booklet for this course.
* Past exams: 2013-a, 2016-a, 2018-a, 2019-a.
* And here is a file with exercise sets (composed by Michael Schein): exercises.
Topics:
- Modules and composition series.
Noetherian and Artinian modules and rings.
- Integral extensions and prime ideals.
Localization and local rings.
- Affine domains.
- Krull theory for Noetherian rings.
- Applications to algebraic geometry.
- Valuations.
Last updated: 21 Jan 2013