The integers of a cyclic quartic field
type: Item
instance of: scholarly article
title: The integers of a cyclic quartic field
zbMATH Open document ID: 0707.11078
published in: Rocky Mountain Journal of Mathematics
publication date: 1990-01-01T00:00:00Z
review text: The authors give a simple explicit integral basis for a cyclic quartic extension \(K\) of the rational number field \(\mathbb{Q}\). This simplifies and corrects the integral basis for \(K\) given in ``The integers of normal quartic fields'' [Ann. Math. (2) 31, 381--418 (1930; JFM 56.0870.02)] by \textit{A. A. Albert}.
reviewed by: Richard A. Mollin
Mathematics Subject Classification ID: 11R16
zbMATH DE Number: 4160885
zbMATH Keywords: explicit integral basis
zbMATH Keywords: cyclic quartic extension
author: Richard H. Hudson
author: Kenneth S. Williams
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181073167
OpenAlex ID: W2024848219
cites work: Some contributions to the theory of cyclic quartic extensions of the rationals
cites work: Calculation of the Class Numbers of Imaginary Cyclic Quartic Fields
cites work: Cyclic quartic fields and genus theory of their subfields
DOI: 10.1216/RMJM/1181073167
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description: scientific article; zbMATH DE number 4160885