Euclidean algorithm in Galois quartic fields

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

Bibliographic Details

Published in:	Rendiconti del Circolo matematico di Palermo Vol. 72; no. 1; pp. 1 - 7
Main Authors:	Srinivas, K., Subramani, M., Sangale, Usha K.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.02.2023
Subjects:	Algebra Analysis Applications of Mathematics Geometry Mathematics Mathematics and Statistics Class number Primary 11A05 Cyclic quartic fields Euclidean rings Number fields Secondary 11R04 Imaginary biquadratic fields
ISSN:	0009-725X, 1973-4409
Online Access:	Get full text
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