Pete L.
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I am quite amenable to booking ``extra'' office hours. The ground rules are: (i) please give me at least 24 hours notice. (ii) Please send me an email the night before a morning appointment or the morning of a later appointment to remind me that we are meeting. (iii) If I do not show for an appointment (empirically, the chance that I will fail to show seems to be about 5-10%), feel free to call me on my cell phone. Probably I'm not too far away. (iv) If we do book an appointment, please do show up or call or email to let me know you're not coming!

Chapter 1: Introduction to Commutative Rings

Chapter 3: Introduction to Modules

Chapter 4: Ideals

Chapter 5: Examples of Rings (especially rings of functions)

Chapter 6: Swan's Theorem

Chapter 7: Localization

Chapter 8: Noetherian Rings

Chapter 9: Boolean rings

Chapter 11: Affine algebras and the Nullstellensatz

Chapter 13: The spectrum

Chapter 14: Integral extensions

Chapter 15; Factorization

Chapter 21: Dedekind domains

Chapter ??: Picard groups

Here is the entire manuscript of my commutative algebra notes. (pdf)

However, these notes are not quite fit for student consumption, in several ways. Most importantly they do not contain enough exercises, and none of the exercises are numbered. Below I give chapter by chapter notes, which are modified versions of the appropriate chapters but should be more polished. The philosophy here is that the big file above will be continually modified without notice, but once I post an individual chapter below, it will stay as it it for the duration of the course.

Chapter 1 (15 pages): Commutative Rings (pdf)

Includes 40 exercises.

Chapter 3 (40 pages): Modules (pdf)

Includes 37 numbered exercises, plus additional (unnumbered) exercises.

The C-Ring Project: a collaborative open source textbook on commutative algebra. (pdf)

Commutative Algebra, by Robert B. Ash (html)

Algebra Commutative, by Antoine Chambert-Loir. (pdf)

Notes on Commutative Algebra, by Mel Hochster. (html)

Notes on Topics in Commutative Algebra, by Mel Hochster. (pdf)

Commutative Rings, by T.Y. Lam. Notes by Anton Geraschenko. (pdf)

Commutative Algebra, lectures delivered by Jacob Lurie, Harvard Univeristy, Fall 2010. Notes by Akhil Mathew. (pdf)

Basic Commutative Algebra, by Keerthi Madapusi (pdf)

A Primer of Commutative Algebra, by James S. Milne (pdf)