Math 648 WINTER 2007, Homework

HOMEWORK IS COLLECTED ON FRIDAYS!!!

  • Due on Fri, 01/19: Rotman 8.2, 8.7, 8.10, 8.16, 8.33.
  • Due on Fri, 01/26: Rotman 8.15, 8.27, 8.28, 8.29, 8.36.
  • Due on Fri, 02/02: Rotman 8.18, 8.21, 8.38, 8.39, 8.40 (one should read 8.40 (ii) like this: Prove that k[T] is a semisimple ring if and only if m(x) is a product of distinct linear factors over an algebraic closure of k).
  • Due on Fri, 02/09: Rotman 8.37, 8.41, 8.42, 8.43, 8.44(i) (8.44(ii) is optional since I don't know how to solve it).
  • Due on Fri, 02/16: 8.57, 8.59, 8.61, 8.66, 8.67.
  • Due on Fri, 02/23: no homework this week! But look at problems 8.72, 8.73, 8.46.
  • Due on Fri, 03/02: Homework 6 .
  • Due on Fri, 03/16: 9.4, 9.21, 9.22, 9.23, 9.32.