Commutative Algebra, March-June 2017

General informations

The course takes place from March 6 till June 28, every Monday and Wednesday at 13:30--15:00 in room 236. The exercise class takes place on Thursdays at 15:30--17:00 in room 333. The monitor is Wállace Mangueira de Sousa.

The course will have two exams and weekly exercise lists. Solutions to the exercises will be returned and discussed in the exercise class.

The grades for the course will be calculated from the grades of the exams, and it can be improved by points achieved for homework.

Changes in the schedule

There is a substitute class on Friday, June 2, at 13:30--15:00 in room 236.


The course has an intermediate exam and a final exam. The first exam takes place on Friday, May 12, from 13:30--16:00 in room 236. The final exam takes place on Wednesday, June 28, from 13:30--16:00 in Auditorium 1.

The exams are open book exams, i.e. you can take your notes and books and use them during the exam. Electronical gadgets (computer, tablet, kindle, cell phone, et cetera) are not allowed.

Exercise lists

List 0 (not to hand in)

List 1

List 2

List 3

List 4

List 5

List 6

List 7

List 8

List 9

List 10

List 11

List 12

List 13


Atiyah, M. F., Macdonald, I. G. - Introduction to Commutative Algebra. Reading, Mass., Addison-Wesley, 1969.

Altman, A., Kleiman, S. - A term of Commutative Algebra. Course notes, 2013. Available at

Eisenbud, D. - Commutative Algebra with a View Toward Algebraic Geometry. New York. Springer-Verlag, 1995.

Matsumura, H. - Commutative Algebra. Reading, Mass., Benjamin- Commings, 1980.

Serre, J. P. - Algebre Locale - Multiplicités. Berlin. Springer-Verlag, 1965.

Zariski, O., Samuel, P. - Comutative Algebra. Vols. 1 e 2, New York, Van- Nostrand, 1960.