For [itex]\alpha = (1+ \sqrt{-3})/2 \in ℂ[/itex] and [itex]R = \{ x +y\alpha \, | \, x,y \in Z \}[/itex].(adsbygoogle = window.adsbygoogle || []).push({});

How would you verify that R is a subring of ℂ? Everytime I multiply two 'elements' of R to check closure I get the negative complex conjugate of [itex]\alpha[/itex], I think I'm doing something wrong...

Thanks!

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# Verifying a subring?

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