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#### issacnewton

##### Member

- Jan 30, 2012

- 61

I have to check if the following relation is an equivalence relation.

\[m\sim n \;\;\mbox{in}\;\;\mathbb{Z}\;\;\mbox{if}\; mn > 0\]

I think this relation fails to be reflexive since $(0,0)$ does not belong to

this relation. Hence this is not an equivalent relation. Is this ok ?

Thanks