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- W2354809271 abstract "Norms and traces are two basic 'rulers' to measure the elements in algebraic field extensions. The formulas of transitivity of norms and traces are also two commonly used tools in dealing with a tower of fields, but they do not have to be utilized on all occasions. Occasionally, one may find other concise methods. The discriminant of the cyclotomic field of P~n th roots of unity is usually established by means of the formula of transitivity of norms, and the theorem of the structure of the additive group of an integral ideal by taking the norm of an ideal .We now complete directly the two proofs neither turning to the formula of transitivity of norms nor taking the norm of an ideal, thus simplifying the proofs of the two important theorems in algebraic number theory." @default.
- W2354809271 created "2016-06-24" @default.
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- W2354809271 date "2002-01-01" @default.
- W2354809271 modified "2023-09-24" @default.
- W2354809271 title "Simpler proofs of some theorems in algebraic number theory" @default.
- W2354809271 hasPublicationYear "2002" @default.
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