Math 732, MS 301, MW 9:30 to 10:45 am
Swatee Naik, Spring 2008

Office: AB 601D, tel 784 6020, fax 784 6378, email naik at unr.edu
Spring 2008 Office Hours: Wednesdays 11-12:15, Thursday 9:30-10:45, and by appointment

Course Prerequisites:
MATH 731 (Anstract Algebra I)

Text book: Dummit and Foote, Abstract Algebra, 3rd edition, Wiley.

Course webpage: http://unr.edu/homepage/naik/classes/732/

We will begin the course with a review of Chapter 7 and continue with Chapters 8, 9, 10 and 12.
HW 1: Show without using quotient rings that a maximal ideal is prime; give an example of a ring and a prime ideal which is not maximal; page 259, no. 37.
HW 2: In class: Show that Z[(1+ \sqrt{-19})/2] is a PID, but not a Euclidean domain; pages 282-3, exercises 3 and 8.
HW 3: 8.3, 6; 9.1, 11
Practice homework: 9.1, 5,6; 9.2, 2--6; 9.3, 13; 9.4, 1,2, 6--12, 17--20; 9.5, 14
Solution to 9.4.4 by Alex Lang
Practice homework: 10.1, 1-9, 11-15; 10.2, 3-10; 10.3, 3-5, 9-11
Practice homework: 10.4, 2 3 4
HW 4: 10.4, 5
Practice homework: 10.5, 6-9, 13-20, 24-26
HW 5: 10.5, 8, problem given in class
Practice Homework: 11.1, 1-8, 13
11.2, 1-4, 8-12, 33, 35, 37, 38
11.3, 1-5
11.4, 6
12.1, 5, 6, 9, 13, 15-19, 20
12.2, 1-25
12.3, 1-18, 20-24

Back to Swatee Naik's homepage
last updated Tue Apr 1 23:01:26 PDT 2008