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An integral basis for a field generated by \(l\)-th roots of rational numbers over the rational number field - MaRDI portal

An integral basis for a field generated by \(l\)-th roots of rational numbers over the rational number field (Q1312825)

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scientific article; zbMATH DE number 495480
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English
An integral basis for a field generated by \(l\)-th roots of rational numbers over the rational number field
scientific article; zbMATH DE number 495480

    Statements

    An integral basis for a field generated by \(l\)-th roots of rational numbers over the rational number field (English)
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    9 February 1994
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    The author constructs an integral basis for a field \(K= \mathbb{Q} (r_ 1, r_ 2, \dots, r_ n)\), where \(r_ i= (m_ i)^{1/p}\) and \(p\) an odd prime. The discriminant of \(K\) is also determined.
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    integral basis
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    discriminant
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