On relative integral bases for cyclic quartic fields
type: Item
instance of: scholarly article
title: On relative integral bases for cyclic quartic fields
zbMATH Open document ID: 0698.12003
DOI: 10.1016/0022-314X(90)90149-L
author: John A. Hymo
author: Charles J. Parry
published in: Journal of Number Theory
publication date: 1990-01-01T00:00:00Z
review text: A necessary and sufficient condition for a cyclic quartic field to have an integral basis over its quadratic subfield is proved. However, such a necessary and sufficient condition has already been given by \textit{B. K. Spearman} and \textit{K. S. Williams} [Proc. Am. Math. Soc. 103, No.3, 687- 694 (1988; Zbl 0663.12006)].
reviewed by: Kenneth S. Williams
Mathematics Subject Classification ID: 11R16
zbMATH DE Number: 4144080
zbMATH Keywords: relative integral basis
zbMATH Keywords: cyclic quartic field
MaRDI profile type: Publication
cites work: Integral bases for bicyclic biquadratic fields over quadratic subfields
cites work: Some contributions to the theory of cyclic quartic extensions of the rationals
cites work: Q4723851
cites work: On Integral Bases
description: scientific article; zbMATH DE number 4144080