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April 20th, 2010, 10:01 AM   #1
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Equivalence relation

I just would like to know whether I understood this correctly

Given the relation R = {(1, 1), (2, 3), (3, 2)} in A = {1, 2, 3}, i.e. R ? A A. Is R an Equivalence relation?

My attempts at a solution:

From the relationship R we can see that there is no reflexivity. And since reflectivity is required to have an equivalence relation, the answer is no?

Thanks in advance!
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April 20th, 2010, 11:52 AM   #2
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Re: Equivalence relation

Yup. That's correct.
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