JP Journal of Algebra, Number Theory and Applications
Volume 23, Issue 1, Pages 61 - 76
(November 2011)
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CYCLOTOMIC RINGS WITH SIMPLE EUCLIDEAN ALGORITHM
Norbert Kaiblinger
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Abstract: The usual Euclidean algorithms for the rational integers and for the Gaussian integers are especially simple. We investigate the validity of similar Euclidean algorithms for general cyclotomic rings. |
Keywords and phrases: Euclidean algorithm, cyclotomic field, Euclidean ring, algebraic integer. |
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