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:
- 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.
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