On Euclid's Algorithm in some Cyclic Cubic Fields

DOI10.1112/jlms/s1-44.1.577zbMath0175.04501OpenAlexW2005394263MaRDI QIDQ5563462

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Publication date: 1969

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s1-44.1.577

zbMATH Keywords

Euclidean fieldsminima of norm formsnon-Euclidean fields

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Other abelian and metabelian extensions (11R20)

Related Items (7)

A note on Euclidean cyclic cubic fields ⋮ The Euclidean algorithm in quintic and septic cyclic fields ⋮ A Survey of Certain Euclidean Number Fields ⋮ On the Euclidean Nature of Four Cyclic Cubic Fields ⋮ Euclidean rings of algebraic numbers and functions ⋮ Euclidean number fields of large degree ⋮ A parametrized set of cyclic cubic fields with even class-number

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