Some generalized Euclidean and 2-stage Euclidean number fields that are not norm-Euclidean

DOI10.1090/S0025-5718-2011-02468-3zbMath1277.11101MaRDI QIDQ3094294

Jean-Paul Cerri

Publication date: 24 October 2011

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

Euclidean ringsgeneralized Euclidean rings\(2\)-stage Euclidean rings

Mathematics Subject Classification ID

Other number fields (11R21) Algebraic number theory computations (11Y40) Algebraic numbers; rings of algebraic integers (11R04) Euclidean rings and generalizations (13F07) Totally real fields (11R80)

Related Items (1)

Some generalized Euclidean and 2-stage Euclidean number fields that are not norm-Euclidean

Uses Software

• PARI/GP

Cites Work

• Unnamed Item
• Euclidean real quadratic number fields
• The Euclidean algorithm in algebraic number fields
• Some generalized Euclidean and 2-stage Euclidean number fields that are not norm-Euclidean
• Inhomogeneous and Euclidean spectra of number fields with unit rank strictly greater than 1
• Euclidean minima of totally real number fields: Algorithmic determination
• The Euclidean Algorithm in Cubic Number Fields
• On the construction of division chains in algebraic number rings,with applications to SL₂
• A weakening of the euclidean property for integral domains and applications to algebraic number theory. II.

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