Euclidean real quadratic number fields

DOI10.1007/BF01235777zbMath0564.12003OpenAlexW2005938594MaRDI QIDQ1057932

Alicia N. Sevilla, Clifford S. Queen, David H. Johnson

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01235777

zbMATH Keywords

real quadratic fieldEuclidean algorithm

Mathematics Subject Classification ID

Quadratic extensions (11R11) Algebraic numbers; rings of algebraic integers (11R04)

Related Items

Computation of the Euclidean minimum of algebraic number fields ⋮ Some generalized Euclidean and 2-stage Euclidean number fields that are not norm-Euclidean

Cites Work

• Some arithmetic properties of subrings of function fields over finite fields
• About Euclidean rings
• The inhomogeneous minima of binary quadratic forms. I
• Arithmetic euclidean rings
• Note on the Euclidean Algorithm
• Indefinite Binary Quadratic Forms, and Euclid's Algorithm in Real Quadratic Fields
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