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.

  1. Modules and composition series. Noetherian and Artinian modules and rings.
  2. Integral extensions and prime ideals. Localization and local rings.
  3. Affine domains.
  4. Krull theory for Noetherian rings.
  5. Applications to algebraic geometry.
  6. Valuations.
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Last updated: 21 Jan 2013