Messages
Here is the problem set and the suggested solutions for yesterday's exam.
A few more suggested problems for some of the final topics are here.
The final syllabus is now updated and available here.
The typed lecture notes are now collected in one document here. Missing from this file are the notes for the lecture introducing the tensor product (which only exists in handwritten form here), and the lecture on the correspondence between ideals of polynomial rings and subsets of k^n, which I've decided not to include in the final syllabus.
Note the schedule has been updated: The last four lectures, starting Monday 11 Nov, are set aside for revision and working of old exam problems.
I've completed grading the mandatory assignments, my suggested solutions can be found here.
The mandatory assignment is now available here. Submission via Canvas, with a submission deadline of Thu 17 Oct, 14:30.
The lecture Monday 23 Sep is moved to Tuesday 24 Sep, 12:15, in room UE32 (basement level).
If you spot a mistake or typo in the notes I post (and I'm sure there are many!), I would be happy to hear about it so I can correct it.
I was asked for the tex code for the problem sets. You can find that in the file problems.tex in the folder of lecture notes here.
I'm away next week, so there is no lecture Monday. I plan to finish up chapter 1 of [AM] this Friday. Kristian Ranestad will lecture on the start of chapter 2 (on modules) next Friday.
-J?rgen
On the schedule page, you'll find suggested problems for each week's topics. I may give you more problems than I expect you have time to do in a given week.
I don't have written solutions to the problems, but I may eventually upload some. For the problems from Atiyah-MacDonald, you can possibly find solutions in a document produced by Byeong Su here. For many of the problems in Ellingsrud's book, solutions are at the back of the book. For the other "homemade" problems, you'll have to ask each other or me for help if you're stuck.
The student representative for this course is Freja Bang Jensen (flbangje@student.matnat.uio.no).
I will try to post lecture notes shortly after each lecture, you'll find these linked on the course schedule page and a collection of all of them here. The notes from the first lecture are uploaded now.
I have added the plan for progression through topics to the course schedule webpage. I will put up the page numbers in our main textbook Atiyah-Macdonald ([AM]) which roughly correspond to the topics.
Since [AM] is quite terse and stingy with its examples, you may also find it useful to look at the treatment of the corresponding topics in Ellingsrud's book ([E]), which is available here. I will also try to indicate roughly which page numbers of [E] match the lecture's topics.
We'll mainly follow the book Introduction to Commutative Algebra by Atiyah and Macdonald, see the syllabus page here for a preliminary estimate of what we'll cover.
I will assume you have experience with ring theory at the level of MAT2200. I plan to go over that material in the first few lectures, but before we start you may want to review the following concepts and how they relate to one another.
- Rings
- Ring homomorphisms
- Commutative rings
- Ideals
- Quotient rings
- Polynomial rings
- Irreducible polynomials
- Prime ideals
- Maximal ideals
- Integral domains
- Fields
- The field of quotients of an integral domain
- Vector spaces...
Hello, and welcome to MAT4200 - Commutative Algebra!
Teaching in this course consists of lectures 12:15-14:00 Mondays and Fridays in room 919 and 108, respectively.
There will be one written mandatory assignment graded pass/fail. The plan is to post this before 3 Oct with a submission deadline of Thursday 17 Oct. If there are good reasons for moving that date (e.g. other submission deadlines coinciding with this), let me know.
The letter grade in the course is based on a final written exam which will take place Tuesday 26 Nov. Exams from previous years, some with solutions, can be found here.
-J?rgen