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 b_{i} be ideals of A. Assume that
 a is a subset of the union of b_{1}, b_{2}, ..., and b_{n};
 a is not a subset of b_{i}'s for i ≠ j for any j.
Prove that there is a positive integer k such that a^{k} is a subset of the intersection of b_{i}'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.
