# Euclidean algorithm in Galois Quartic Fields

Source: [Euclidean algorithm in Galois Quartic Fields](<https://www.sota2.com/research/paper/68fa58641e209131ce9adfec>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T15:19:34.786Z

Authors: K Srinivas, M Subramani, Usha K Sangale

Published: 2021-08-18T08:57:56.000Z

## Abstract

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

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2108.08049>)

[PDF](<https://arxiv.org/pdf/2108.08049.pdf>)