February 12th, 2012, 04:50 PM  #1 
Member Joined: Oct 2011 Posts: 35 Thanks: 0  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!! 
February 14th, 2012, 11:27 AM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 937 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Isomorphism
?(1) = ?(1), so it's not even injective.

February 14th, 2012, 05:12 PM  #3 
Member Joined: Oct 2011 Posts: 35 Thanks: 0  Re: Isomorphism
It was easier than I thought..


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