Math 2231 - Ring Theory

Course Description

(Adapted from the Course Calendar) The main goal of this course is to introduce rings. Some of the topics that will be covered in this course are: congruence and modular arithmetic, and the definitions of rings and fields. Prerequisites: Math 1281.

Course Information

Time	Class: MWF 11:30-12:30
Place	Class: RB 2027
Instructor	Adam Van Tuyl
	Office: RB 2015
	Office Hours: Tues: 2:30-3:30 Thur: 9:30-10:30
Text	Abstract Algebra by Hungerford
Email	avantuyl@sleet.lakeheadu.ca
Web Page	flash.lakeheadu.ca/~avantuyl/courses/2003_fall_math2231.html

News

Because of the small number of students expected for the course, any changes, corrections, etc., will be sent via email.

Homework assignments

All homework can be handed in early by placing it under my door.

• Assignment 1 (Due: Sept. 17)
  • Section (Appendix B) -- 2, 5, 6, 16, 20b, 21, 22
• Assignment 2 (Due: Sept. 24)
  • Section 1.1 -- 1, 4, 6,
  • Section 1.2 -- 1a-d, 3, 5, 6, 10, 18, 22, 31
  • Section 1.3 -- 6, 11a, 20, 21
• Assignment 3 (Due: Oct. 3)
  • Section 1.4 -- 7 (Hint: (t^n-1) = (t-1)(t^{n-1} + t^{n-1} + ... t +1))
  • Section 2.1 -- 1, 3, 5, 11, 17, 20, 27, 31
  • Section 2.2 -- 1c, 3ac, 7, 8
• Assignment 4 (Due: Oct 15)
  • Section 2.3 -- 1ab, 4, 6, 8
  • Section 3.1 -- 6, 7, 9, 13a, 24a, 29
  • Section 3.2 -- 3, 5, 6, 12, 23, 24
• Assignment 5 (Due: Oct 31)
  • Section 4.1 -- 3a, 4, 5a, 9, 12, 16
  • Section 4.2 -- 4a, 5a, 8, 12
  • Section 4.3 -- 3, 5, 16, 19
• Assignment 6 (Due: Nov 12)
  • Section 5.1 -- 3, 5, 9, 11
  • Section 5.2 -- 3, 5, 8, 9, 11
  • Section 5.3 -- 1, 3 (Show F is isomorphic to F[x]/(x-a) )
• Assignment 7 (Due Nov. 24)
  • Section 6.1 -- 7b, 8, 13, 15a, 18, 21a, 23
  • Section 6.2 -- 1, 7, 12, 19 Bonus = 32
  • Section 6.3 -- 2, 5, 8