Unformatted text preview: an ideal in R x S. (b) Let I be a maximal ideal in a commutative ring R with unity and S any ring. Show that I x S is a maximal ideal in R x S. V. Prove one of the following : (a) If D is an integral domain, then for all non zero polynomials f(x), g(x) in D[x], deg(f(x)g(x)) = deg f(x) + deg g(x) (b) If F is a field then {0} and F are the only ideals in F....
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 Spring '08
 Papantonopoulou
 Algebra, Commutative ring, maximal ideal

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