hw9 - 2. Problem 27.23 on page 135. (Consider ( 2 ) 2 .) (3...

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Math 3124 Tuesday, November 15 Ninth Homework Due 12:30 p.m., Thursday December 1 1. Let p be a prime and let R be an integral domain of characteristic p . Define θ : R R by θ ( a ) = a p . Prove that θ is a ring homomorphism. Show further that ker θ = 0. (You may assume the Freshman calculus rule.) (3 points)
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Unformatted text preview: 2. Problem 27.23 on page 135. (Consider ( 2 ) 2 .) (3 points) 3. Problem 38.20 on page 181. (You may use Example 38.4 on p. 180. Remember ker is always an ideal.) (3 points) 4. Problem 39.6 on page 183. (3 points) (4 problems, 12 points altogether)...
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This note was uploaded on 01/02/2012 for the course MATH 3124 taught by Professor Parry during the Fall '08 term at Virginia Tech.

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