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Talk:Algebraic integers

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Eisenstein integers are quadratic integers? Alonso del Arte 03:03, 4 August 2012 (UTC)

Yes, is a root of Not obvious, the way they're usually defined, but true. Charles R Greathouse IV 07:11, 4 August 2012 (UTC)
To see that the Eisenstein integers are [quadratic] algebraic integers, note that each is a root of the monic quadratic polynomial
where and
Daniel Forgues 09:20, 4 August 2012 (UTC)

Nonarithmetic algebraic integers

It seems that we may have algebraic integers which are not arithmetic! (See arithmetic numbers.) — Daniel Forgues 06:19, 11 January 2013 (UTC)

I added an example of nonarithmetic algebraic integers. I suspect that almost all algebraic integers are nonarithmetic! — Daniel Forgues 06:37, 11 January 2013 (UTC)