Math 308: Abstract Algebra --- Spring 2006

To contact the instructor: j.rhodes@uaf.edu

Course syllabus: M308syl.pdf

Homework Assignments:

Problems are from Gallian, 6th edition.

• 1/20 -- p. 37: 1-13,15-17,21,22
• 1/23 -- p. 53: 1-8, 14-16
• 1/25 -- p. 53: 17-26,29,30,32-34
• 1/27 -- p. 67: 1-9
• 1/30 -- p. 67: 10,12,14-17,19,21-23,28-30
• 2/1 -- p. 67: 35,36,46,47,49,51,52
• 2/3 -- p. 82: 1,2,5,7-11,13-15,17,20
• 2/6 -- p. 82: 32-35,65; p. 112: 1-8,17,18,23,24,27,28
• 2/8 -- p. 112: 9,19,25,26,31,36,40,43,45,46,51
• 2/10 -- p. 132: 1-7,10,11,17,19,20,22,23 (Do #4,10 on separate paper; they will be graded by the instructor)
• 2/13 -- p. 132: 9,15,21,30,31,33-35
• 2/15 -- no assignment
• 2/17 -- p. 148: 1-3,5-8,13-15,22,24,26,27,30
• 2/20 -- p. 148: 31,36,37,42,44
• 2/22 -- p. 165: 2-9, 12,13,18,19,21,22
• 2/24 -- p. 191: 1,2,4,6-9,11,12,14,27,37
• 2/27 -- p. 191: 39,49,51,61 (these are suggested, but are not to be turned in)
• 3/1 -- no assignment
• 3/3 -- Midterm exam take-home begins
• 3/6 -- no assignement
• 3/8 -- Midterm exam take-home due
• 3/10 -- Midterm exam in-class
• BREAK
• 3/20 -- p. 225: 1-3,5-10,12,13,15
• 3/22 -- p. 225: 19,25-28,32
• 3/24 -- p. 240 1-4,6,7,14,17,18,19
• 3/27 -- p. 240 21-23,25,26,29,40-43,47
• 3/29 -- p.254 3-9,12,13-20,22,25,29,35
• 3/31 --p. 254 41,42,49,59; p. 268 1-5,10-15
• 4/3 -- p. 268 6,9,20,21,25,27,29,32,35,39
• 4/5 -- p. 268 41,47,49,59; p. 286 1(parts 3,4,6 only),2,3
• 4/7 -- p. 286 10-12,18,19,21,38,40
• 4/10 -- p. 286 41,43,45,50,60
• 4/12 -- p. 298 1-6,9,11-13,15
• 4/14 -- p. 298 19,20,22,31,36-38,45,48
• 4/17 -- p. 315 3-5,11-16
• 4/19 -- p. 315 6-8,10,17,21,23,25,27
• 4/21 -- no assignment
• 4/24 -- p. 333 1-6
• 4/26 -- p. 333 13-15,17
• 4/28 -- no class
• 5/1 -- Take-home final begins

Important: Take-home exam corrections/clarifications

problem 1. You may ignore the case of the trivial ring R={0}.

problem 2.a.vii. Show that the set P={A | A is a proper subset of X} is a prime ideal of B(X) if, and only if, X has exactly one element. If X has more than one element, determine (with proof) all prime ideals of B(X).

problem 3.g.i. The lower right entry of B should be -i.

problem 4. A should be a subring of R, not a subgroup.

• 5/3 -- no assignment
• 5/5 -- no assignment
• 5/8 -- Take-home final due 5pm
• 5/10 -- In-class final