The Euclidean condition in pure cubic and complex quartic fields-Reference-Cited by-同舟云学术

The Euclidean condition in pure cubic and complex quartic fields

Published:1979 Issue:145 Volume:33 Page:389-398
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Cioffari Vincent G.

Abstract

In this paper we prove that a field Q ( 3 d ) Q{(^3}\sqrt d ) is euclidean with respect to the ordinary norm if and only if d = 2 , 3 d = 2,3 or 10. We also prove that certain fields of the form Q ( 4 − d ) , d > 0 Q{(^4}\sqrt { - d} ),d > 0 , are or are not euclidean.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1979-33-145/S0025-5718-1979-0514835-5/S0025-5718-1979-0514835-5.pdf

Reference6 articles.

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5. C. CHEVALLEY, C. R. Acad. Sci. Paris, v. 192, 1931, pp. 257-258.

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