Problem Set 1 Solutions
Math 480/550
(1) Using Denition 2 from section 1.1 in the book, dene polynomial multiplication, addition,
and subtraction, and show that k [x1 , , xn ] is a ring.
Solution: Wri
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Problem Set 5
Due 4 May, 2009
Math 480/550
Solutions are to be submitted in PDF form via email to [email protected] by 5pm.
In the problems below, Q k and the k is ommitted from Pn . We only consider
Problem Set 5
Due 10 April, 2009
Math 480/550
Solutions are to be submitted in PDF form via email to [email protected] by 5pm.
(10 pts)
(1) The algebraic construction of derivatives. Let k be an arbi
Problem Set 4
Due 27 March, 2009
Math 480/550
Solutions are to be submitted in PDF form via email to [email protected] by 5pm.
(10 pts)
(1) Consider the system in Figure 1. It consists of three rigid
Problem Set 3
Due 6 March, 2009
Math 480/550
Solutions are to be submitted in PDF form via email to [email protected] by 5pm on
6 March, 2009.
(10 pts)
(1) Let
denote lex order on Nn . Is it always t
Problem Set 2 Solutions
(10 pts)
Math 480/550
(1) The consistency problem in C. In this problem, let k = C, and consider a collection
of polynomials f1 , . . . , fr k [x]. The collection is inconsiste