Is this a field? – math.stackexchange.com

Is this a field? – math.stackexchange.com

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Let $S$ be the set of all the ordered pairs in the cartesian plane. That is: $$S=\{(x,y)|\ \ x, y \in \Bbb{R}\}$$ Then, If $a=(a_1, a_2)$ and $b=(b_1, b_2)$ are two arbitrary elements of $S$, the ...

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