Class Information:
Course meets in Harrelson 168
T/TH 10:15 - 11:30
Spring 2008
Text: Algebra by Michael Artin
There will be a test, homework, a project and a final exam, each counting 25%
We will cover chapters 12, 13 and 14.
Chapter 13: Sections 1,2,3,5,6,8,9
Chapter 14, Sections 1,2,3,4,5,6,7
Chapter 12, Sections 1,2,4,5,6,7
Extra: Multilinear Algebra.
HOMEWORK.
Jan 10 Ch 13, Sec 1 #1,3 Sec 2 # 1,5
Jan 15 Ch 13, Sec 3 #1,2,3,4,8,9,10,11,15 Hand in 2,8,11
Jan 17 Ch 13, Sec 5 #1,3
Jan 22 Ch 13, Sec 6 # 3,4,5,7,8,9,10,11 Hand in 5,7
Jan 24 Ch 13, Sec 6 # 15, page 589 prop 1.12
Jan 31 Ch 13, Sec 3 # 7, Sec 2 # 3.
Feb 5 Ch 14, Sec 1 # 1, 2, 6, 8
Feb 7 Ch 14, Sec 1 # 3, 4, 7, 10, 11, 15, 16, 17 Hand in 17
Feb 12 Ch 14, Sec 2 # 1,2,3,4,6,7, 9. Hand in 3,4,6
Feb 14, Ch 14, Sec 4# 2
Feb 19, Ch 14, Sec 4 # 3, Sec 5 # 1,2,3,4 Hand in 1.
Feb 21, Ch 14, Sec 5 # 8,9,10, 11.
Feb 26, Ch 14, Sec 6 # 1,3,5,10
Feb 28, Ch 14, Sec 6 # 12, 15 Sec 7 # 3
Mar 18, Ch 12, Sec 1 # 1, 6, 7, 12, Sec 3 # 1
Mar 20, Ch 12, Sec 2 # 1, 3, 4, 5 ,6 Hand in 5
Mar 25, Ch 12, Sec 4 # 1, 3, 5, 6
Mar 27, Ch 12, Sec 5 # 4, 5
Apr 3, Ch 12, Sec 6 # 1,2, 3, 4 Hand in 3
Apr 8, Ch 12, Sec 7 # 2-6, 16
Apr 10, Let R=F[x], M=<x> and N=<y> be cyclic R-modules with
ann(x)=(f) and ann(y)=(g) where f and g are relatively prime. Prove
that the tensor product of M and N is 0