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Euclidean domain question

Subject: Euclidean domain question
From:
Date: 31 Oct 2006 08:14:55 -0800
Newsgroups: sci.math
If r is the  real root of x^3 -2 =0, is Z[r] Euclidean
with respect to the norm x^3 +2y^3 +4z^3 -6xyz ?
What is the division algorithm explicitly ?


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