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February 12th, 2012, 04:50 PM   #1
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Isomorphism

I need to determine if the given map ? is an isomorphism of the first binary structure with the second, and if it is not an isomorphism, why not?

I have, ?Q , . ? with ?Q , . ? where ?(x) = x^2 for x ? Q (the dot in the brackets is my atempt to to represent multiplication)

Smart people.. please help!!
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February 14th, 2012, 11:27 AM   #2
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Re: Isomorphism

?(1) = ?(-1), so it's not even injective.
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February 14th, 2012, 05:12 PM   #3
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Re: Isomorphism

It was easier than I thought..
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