Math 200a Fall 2011 Homework 8
Due Friday 12/02/2011 by 5pm in homework box on 6th floor of AP&M
Upcoming schedule:
We will cover factorization in the Guassian integers, which is
covered in the text in Section 8.3, on Monday 11/28. Additional HW problem 2 is based
on that material.
On Wednesday 11/30 we will talk about criteria for irreducibility of
polynomials, in particular the Eisenstein criterion.
The final exam will be on Wednesday December 7, 3pm6pm.
It will be in our usual
classroom unless I make an announcement otherwise.
Reading assignment:
Finish reading Chapter 9, and anything earlier you didn’t read
or want to reread. We will cover only the very beginning of Section 9.6, namely Hilbert’s
basis theorem.
Exercises to be handed in: (all exercise numbers refer to Dummit and Foote,
3rd edition.)
Section 8.3 :
5, 6(c)
(Look over 6(a,b) too, but don’t write them up.)
Section 9.3:
1, 2
Section 9.4:
9, 11
(These problems use the Eisenstein criterion. We will cover this in
class on Wednesday November 30.
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 Fall '08
 Bunch,J
 Math, Addition, Integers, Ring, Ring theory, Euclidean domain, Noetherian, noetherian property

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