Abstract Algebra: Math 521B, Spring 2009 Assignments

Assigned exercises in Hungerford, Abstract Algebra: An Introduction 2nd ed.
Homework assignments to turn in.
Due Date Section Problems
Fri. 1/30 7.1 8, 14, 28
. 7.2 7, 9b, 17, 22, 25, 26
Fri. 2/6 7.3 7, 9, 11b, 18, 31, 33
. 7.4 10, 13, 41, 42, 43, 44
Mon. 2/16 7.2 30
. 7.3 36
. 7.5 7, 9, 10, 12, 13, 15, 16, 20
Wed. 2/25 7.6 5, 8, 9, 18, 22, 23, 24
. 7.7 6, 8, 14, 17
. 7.8 3, 6
Wed. 3/11 7.7 15, 16, 19, 23, 25
. 7.8 4(find kernel), 8, 10
Wed. 3/18 8.1 6c, 10a, 17, 18, 22, 28
. 8.2 3g, 3h, 5bd, 6bd, 7bd 8, 9, 16
Fri. 3/27 7.9 3ce, 4c, 15, 25, 27, 33, 34
. 7.10 1, 3, 4
Wed. 4/8 8.3 1-7 (dont turn in, we'll discuss)
Fri. 4/17 9.4 2a,b, 3, 6, 9, 10
. 10.1 9, 12, 21, 22b
Fri. 4/24 4.2 5ef, 6ef
. 4.3 23b, (in Z_7 not Z_5 )
. 4.4 4b
. 4.5 4b, 7
. 5.3 9, 13( just x^2+x+1 ), A (below)
Fri. 5/1 10.2 3, 5b, 18
. 10.3 3d, 11, 13
. 10.4 12
(don't turn in) 10.6 10, 12, construct fields of order 4, 8, 16, and 9.

A. Find the inverse of a^2+a+1 where a is the class of x in the field of problem 5.3 #13.