Unformatted text preview: { You are using a clean paper (no ripped paper), that is not folded or rolled. { Your writing is clear and organized (use full sentences), and your reasoning is easy to follow. Submit your solutions to the following problems from the textbook: 1. Chapter 1, Exercises 1.17, 1.35, 1.46(b), 1.49, 1.50 . 2. Is the set R 2 , with addition and multiplication de±ned below a ±eld? Explain. ( a;b ) + ( c;d ) = ( a + c;b + d ) ( a;b ) ² ( c;d ) = ( ac;bd ) 3. Is the set [0 ; 1 ) (with the usual addition and multiplication) a ±eld? Explain. 4. Let F = f ; 1 ;a;b g be a ±eld with four elements. Prove that a 2 = b . You may use a result proved during lecture....
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 Spring '10
 Math

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