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- W2039403740 abstract "This paper has the following contents. 1°. In an abelian extension field K over the rational number field, any ambiguous ideal is a principal ideal in the genus field in the wide sense. 2°. A number theoretical proof of the following. In a cyclic extension field K over the rational number field, any ambiguous class ideal is a principal ideal in the genus field in the wide sense." @default.
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- W2039403740 date "1977-02-01" @default.
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- W2039403740 title "Principal ideal theorems in the genus field for absolutely abelian extensions" @default.
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- W2039403740 doi "https://doi.org/10.1016/0022-314x(77)90045-2" @default.
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