Euclidean algorithm in Galois Quartic Fields

2021/08/18 by K. V. R. Srinivas, Srinivas, K, Subramani, M +2
Mathematics · #11A05 #11R04 #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2108.08049

openalex publication_date 2021/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

• Euclidean Ideals in Quadratic Imaginary Fields
• Norm-Euclidean Galois fields
• Low degree extensions with Cyclic class group
• Euclid's Algorithm in quartic CM-fields
• The Euclidean algorithm in quintic and septic cyclic fields