Homework assignments for Math 28b, Spring 1998


Problem Set 3. Due February 12, 1998

  1. Page 196 B1-B4
  2. Pages 196-197 C1; D1,D2
  3. Consider the ring Z[x] of polynomials with integer coefficients.
    1. Show that the quotient ring Z[x]/< x > is isomorphic to Z. (Suggestion: consider the map F: Z[x] -> Z given by F(p) = p(0). What is its kernel?)
    2. Try a similar argument for Z[x]/< x-1 >.
  4. Pages 198-199 H1,H2,H4