Math 326 Commutative Algebra Home Page
Further links concerning this course will be given here
Ali Sinan Sertöz
 
Text Book:
Miles Reid, Undergraduate Commutative Algebra,

London Mathematical Society, Student Texts No: 29,
Cambridge University Press, 1995. [QA251.3.R45]
Supplementary Texts:
Atiyah & Macdonald, Introduction to Commutative Algebra,
Addison-Wesley series in Mathematics, 1969, [QA251.A8]
Bourbaki, Commutative Algebra, Herman 1964, [QA251.3.B6Z13]
Schedule:
TUE 9:40-10:30 SAZ 20
THU 10:40-12:30 SAZ 20
Syllabus:
[#1]  Jan 28        Preliminaries
[#2]  Feb 2-4       Spec of a ring
[#3]  Feb 9-11      Local rings
[#4]  Feb 23-25     Modules
[#5]  Mar 2-4       Nakayama's lemma
[#6]  Mar 9-11      Noetherian rings
[#7]  Mar 16-18     Integral closure
[#8]  Mar 23-25     Field extensions
[#9]  Apr 1         Nullstellensatz
[#10] Apr 6-8       The V and I correspondence
[#11] Apr 13-15     Zariski topology
[#12] Apr 27-29     Primary decomposition
[#13] May 4-6       Associated primes
[#14] May 11        Discrete valuation rings
Exams, Grading and Rules of the Game as of March 16, 1999:

1) I will take attendance every hour, i.e. once on Tuesdays and twice on Thursdays. There are 22 such hours of lecture left. Anyone who misses more than 6 hours will definitely receive an F grade with no further considerations.

2) All previous projects (actually only 1 so far) are cancelled. Instead we will follow the following setup: So far we covered chapters 0-4. There are a total of 84 problems quoted in the book after these chapters. I have solved some of them in class and some of them are totally trivial. You will solve as your first project 15 of these problems. You will get my consent on which 15 problems you choose by Tuesday 16. On that day I will bring to class a list of problems to solve as project for those who haven't chosen their own problems. The deadline for submission is 6 April Tuesday class hour. No extensions will be bargained.

3) The second project will be decided similarly.

4) There will be a take-home final exam to be due in the afternoon of the scheduled final exam for this course.

5) Projects will have 40% weight each and the final will have 20%, the clause in (1) above being in effect.

If you have any questions do not hesitate to contact me in my office anytime, or send me email.

First Project Problems

Yasin: 0.13, 0.16, 0.17, 0.19 (counts as 2), 1.3, 1.8, 1.9, 1.11, 1.12, 2.3, 2.6, 2.7, 3.11, 4.8.

Nuray: 0.6, 0.20, 1.10, 1.17, 1.18, 2.1, 2.10, 3.1, 3.5, 3.9, 4.2, 4.6, 4.11, 5.1, 5.2.

Pelin: 0.9, 0.21, 1.9, 1.16, 2.5, 2.12, 3.2, 3.6, 3.10, 4.3, 4.7, 4.12, 5.2, 5.6, 5.9.

Bayram: 0.15, 1.22, 1.13, 1.15, 1.19, 2.8, 2.14, 3.3, 3.7, 3.12 (counts as 2), 4.4, 4.9, 5.3, 5.7.

Ali Ekber: 0.23 (counts as 2), 1.4, 1.7, 1.14, 2.9, 2.15, 3.4, 3.8, 4.1, 4.5, 4.10, 5.4, 5.8, 5.10.