Unformatted text preview: ba = 1. Now use the property of homomorphism, we see f ( b ) f ( a ) = f (1) = 1, so f ( b ) is the inverse of f ( a ) in S . p133, E7 Easy check. p133, E11 F has characteristic 2 means that x + x = 0 (don’t write 2 x here) for any x . So ( i ) easily holds, and ( ii ) follows from: ( a + b ) 2 = a 2 + ab + ba + b 2 = a 2 + b 2 (and don’t write 2 ab here). p138, E16 See hint. p141, E12 Note that n 5n 5 and n 3n 3 are integers by Fermat’s Theorem. 1...
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 Spring '08
 BILLERA
 Math, Algebra, Homomorphism, British E class submarine, Computational Problems, zero divisor, ba + b2

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