Math 200 C

Spring 2013

 Lectures: M-W-F 12:00 PM--12:50 PM APM 5402 Office Hour: M-F 4:00 PM--5:00 PM APM 7230 W 3:00 PM--4:00 PM APM 7230 TA information: Michael Kasa mkasaucsd edu TA Office hour: TBA TBA APM 6452

Book

• M. F. Atiyah, I. G. Macdonald, Introduciton to commutative algebra.

Schedule

Assignments.

• Due April 12:
• Chapter 1: Exercises 2, 4, 10, 14, 17, 26.
• Chapter 2: Exercises 3, 7, 10, 12.
• Read Chapter 1, Exer. 15, 27 and 28, but they are not part of the assignment.
• Due April 19:
• Chapter 3: Exercises 7, 13, 15, 21.
• Chapter 4: Exercises 4, 7, 19.
• Due April 26:
• Let a and bi be ideals of A. Assume that
• a is a subset of the union of b1, b2, ..., and bn;
• a is not a subset of bi's for i ≠ j for any j.
Prove that there is a positive integer k such that ak is a subset of the intersection of bi's.
• Chapter 4: Exercises 8, 10, 11, 13 (13 (iv) needs the obvious correction), 15.
• Due May 3:
• Chapter 5: Exercises 1, 8, 12, 13, 14, 16, 17.
• Due May 10:
• Chapter 5: Exercises 18, 20, 21, 22, 23, 24, 25.
• Due May 17:
• Chapter 6: Exercise 1; Chapter 7: Exercises 5, 6, 8, 9, 16; (Think about problem 25, but it is not
part of the homework assignment).
• Due May 24:
• Because of the qual the due time of this week's homework assignment is changed to May 31.
• Due May 31:
• Here is last week's homework assignment. (There will be more for this week!)
• Due June 12:
• Here is this week's homework assignment.