Welcome to the Commutative Algebra reading course, which is part of the Decoding Dimensions program on Algebraic Geometry and Number Theory. In this course, we will cover the fundamentals of Commutative Algebra, which are essential for Algebraic Geometry and Number Theory.

The class is scheduled for Wednesday, from 1:45 pm to 3:45 pm (Tehran time).

I will be sharing the weekly reading material and exercises on the News page. All class-related communication and updates will also be posted there. So, please stay connected…

Our main reference for this course will be J. Milne‘s lecture notes [CA] A Primer on Commutative Algebra.

Additionally, here is a list of other resources. We may occasionally refer to these books and use them for homework assignments:

  1. [AM] M. F. Atiyah, I. G. Macdonald, Introduction to Commutative Algebra
  2. [B] S. Bosch, Algebraic Geometry and Commutative Algebra
  3. [BA] A. Knapp, Basic Algebra
  4. [E] D. Eisenbud, Commutative Algebra, with a view Toward Algebraic Geometry
  5. [K] E. Kunz, Introduction to Commutative Algebra and Algebraic Geometry
  6. [M] H. Matsumura, Commutative Ring Theory
  7. [P] Ch. Peskine, An Algebraic Introduction to Complex Projective Geometry, Commutative Algebra
  8. [R] M. Reid, Undergraduate Commutative Algebra
  9. [S] R. Y. Sharp, Steps in Commutative Algebra
  10. [SP] Stacks Project, {00AO} Commutative Algebra