Here are notes about Weierstrass Division Theorem and its consequences (proving that power series rings over fields are UFD).

Here is an introduction to category theory.

Here are nice notes on Dedekind domains.

Here are some interesting examples of projective modules.

Here is the foundational paper by Richard Swan establishing relation between vector bundles and projective modules.

- Lecture 2 Lecture 3 Lecture 4a Lecture 4b Lecture 4c Lecture 5 Lecture 6
- Lecture 7 Lecture 8 Lecture 9a Lecture 9b Lecture 10 Lecture 11 Lecture 12a Lecture 12
- Lecture 13 Lecture 14 Lecture 15 Lecture 16a Lecture 16b Lecture 17 Lecture 18
- Lecture 19 Lecture 20 Lecture 21 Lecture 22 Lecture 23 Lecture 24 Lecture 25
- Lecture 26 Lecture 27

- Problem Set 1. Due on Tuesday, September 15.
- Problem Set 2. Due on Thursday, October 1.
- Problem Set 3. Due on Thurdsay, October 15.
- Problem Set 4. Due on Tuesday, November 3.
- Problem Set 5. Due on Tuesday, November 17.
- Problem Set 6. Due on Thursday, December 3.