Euclidean algorithm in Galois Quartic Fields

DOI10.1007/S12215-021-00662-2zbMATH Open1518.11073arXiv2108.08049WikidataQ114221091 ScholiaQ114221091MaRDI QIDQ6375496

Usha Keshav Sangale, Subramani Muthukrishnan, Kotyada Srinivas

Publication date: 18 August 2021

Abstract: We prove that all imaginary biquadratic fields and cyclic quartic fields of class number $1$ are Euclidean.

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04)

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