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.