On relative integral bases for cyclic quartic fields (Q912145)

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scientific article; zbMATH DE number 4144080
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On relative integral bases for cyclic quartic fields
scientific article; zbMATH DE number 4144080

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    On relative integral bases for cyclic quartic fields (English)
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    1990
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    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)].
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    relative integral basis
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    cyclic quartic field
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