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 December 15th, 2007, 08:11 AM #1 Newbie   Joined: Nov 2007 Posts: 7 Thanks: 0 Isomorphism There is a well defined function (phi) : F ----> F given by the formula (phi)(a+b(sqrt)2) = a-b(sqrt)2 Prove that phi is an isomorphism from F to F.
December 15th, 2007, 08:34 AM   #2
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Re: Isomorphism

Quote:
 Originally Posted by just17b There is a well defined function (phi) : F ----> F given by the formula (phi)(a+b(sqrt)2) = a-b(sqrt)2 Prove that phi is an isomorphism from F to F.
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You don't write what is F, you don't say what have you done with this problem, you don't mention why is phi well defined...
This is not serious

Regards
Tonio

December 15th, 2007, 02:51 PM   #3
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your right, sorry F is all a+b(sqrt)2 with a and b rational and F is a subfield of R.
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 December 18th, 2007, 06:58 AM #4 Global Moderator   Joined: Dec 2006 Posts: 21,026 Thanks: 2257 What progress have you made so far?
 December 18th, 2007, 07:57 AM #5 Newbie   Joined: Nov 2007 Posts: 7 Thanks: 0 not very much, i always have trouble starting

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