## Homework assignments for Math 28b, Spring 1998

### Problem Set 3. Due February 12, 1998

- Page 196 B1-B4
- Pages 196-197 C1; D1,D2
- Consider the ring
** Z**[x] of polynomials with integer coefficients.
- 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?)
- Try a similar argument for
** Z**[x]/< x-1 >.

- Pages 198-199 H1,H2,H4