MATH 403A Winter, 2011
FINAL EXAM: WEDNESDAY, MARCH 16TH, 8:30 - 10:20
OFFICE HOURS DURING EXAM WEEK: Monday and Tuesday, 1:30 - 4:00
INSTRUCTOR: Ralph Greenberg, Padelford C-553, 543-7648, , greenber@math.washington.edu
OFFICE HOURS: Monday 12:00 -1:00, Wednesday, 1:00 - 2:00, Friday, 2:00 - 3:00, other times by appointment.
TEXT: Abstract Algebra, 3rd edition, by D.S. Dummit and R.M. Foote
GRADING: The grade will be based on the homework assignments (which
count 30% altogether), the midterm (which counts 30%), and the final (which
counts 40%). The midterm will be on Wednesday, February 9th. The final
will be on Wednesday, March 16th, 8:30 - 10:20.
Math 403 is an introduction to ring theory. We will cover much of chapters 7, 8, and 9 in the text, and also parts of 10 and 11. A significant part of the course will be the theoretical side of ring theory - various theorems about the properties of rings. Many of the theorems will concern rather special types of rings, e.g., integral domains, principal ideal domains, etc. But another significant part of the course will be studying and getting to know specific rings. Both parts are crucial for gaining an understanding of ring theory.
MATH 402A Webpage
PROBLEM SETS: 1, 2,
3, 4, 5,
SOLUTIONS: 1, 2, 3, 4, 5,
Suggested Problems for Math 403, Solutions
Additional Suggested Problems for Math 403, Solutions
HANDOUTS:
Basic definitions concerning rings
Sone elementary facts about rings
Two noncommutative rings
Important theorems about ring homomorphisms and ideals
Reducibility and Irreducibility of Polynomials over a Field
Some data about quadratic integer rings