Math 200 C

Spring 2014

Lectures: M-W-F 10:00 AM--10:50 AM  APM 7421
Office Hour: MWF 2:00 PM--3:00 PM APM 7230

TA information:
Brian Longo blongo ucsd edu
TA Office hour: MW 2pm-3pm.  APM 6434

Book

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

Schedule

Garde

  • The letter grades will be based on scores of your weekly homework assignments.
  • The materials covered in the first two weeks of the course (the first three chapters of Atiyah-Macdonald) are part of the algebra qualification exam.

Assignments.

  • Due April 11:
    • 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 18:
    • Chapter 3: Exercises 7, 13, 15, 21.
    • Chapter 4: Exercises 4, 7, 19.
  • Due April 25:
    • 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 the union 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 2:
    • Chapter 5: Exercises 1, 8, 12, 13, 14, 16, 17. 
  • Due May 9:
    • No homework.
  • Due May 16:
    • Chapter 5: Exercises 18, 20, 21, 22, 23, 24, 25.
  • Due May 23:
    • Because of the qual there is no homework.
  • Due May 30:
    • 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 June 6:
    • Here is last week's homework assignment.
    • (Optional) Here is this week's homework assignment.