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Unformatted text preview: have to show that either I = M or I = R . If it was the case that I = M then youre done, so suppose that I n = M . In this case, there exists some element k + 2 that belongs to I but not to M . Consider ( k + 2) ( k 2); this belongs to what ideal? And then write k = 5 m + r and = 5 n + s where r and s are the remainders after dividing by 5. 3. Problem 4.4 #7. With M and R as in Problem 4.4 #6, show that R/M is a eld having 25 elements. 4. Problem 4.5 #14, part a only. 1...
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This note was uploaded on 08/25/2011 for the course MATH 4107 taught by Professor Staff during the Spring '10 term at University of Florida.
 Spring '10
 Staff
 Math, Algebra

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