This set is due **February 25** at the beginning of lecture. Consult the syllabus for details on the homework policy.

**1.** Show directly that there is no field of elements. (“Directly” means, among other things, that you cannot use the facts mentioned without proof at the end of lecture 4.3.)

**2. **Construct a field of size Once you are done, verify that all its elements satisfy the equation

**3.** Solve exercises 36–38 from Chapter 4 of the book.

**4.** Is the set a field with the usual ?