Prove that an algebraic integer is a unit in Z(a)

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Start date Mar 7, 2013
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lahuxixi

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Mar 7, 2013

I'm completely stuck here, can anyone help me?

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Dick

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Mar 7, 2013

lahuxixi said:

I'm completely stuck here, can anyone help me?

You shouldn't be completely stuck. One direction at least is easy. ##\alpha^n+a_{n-1}\alpha^{n-1}+...+a_1 \alpha=-a_0##. Can you show that if ##a_0=\pm 1## then ##\alpha## is a unit?

Prove that an algebraic integer is a unit in Z(a)

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Prove that an algebraic integer is a unit in Z(a)

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