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On the units of algebraic number fields
Mathematika, 1967Let p be a prime number, Qp the field of p-adic numbers and Ωp the completion of the algebraic closure of Qp with its valuation normed by setting |p| = 1/p.
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Arithmetic in an Algebraic Number Field
20106.1. Let F be a field. A map \(\,\nu : F\to {\bold{R}}\cup\{\infty\}\) is called an order function of F if it satisfies the following conditions:
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Groups of Algebras Over an Algebraic Number Field
American Journal of Mathematics, 1943Saunders MacLane, O. F. G. Schilling
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, 1971 Reciprocity in Algebraic Number Fields
American Journal of Mathematics, 1951openaire +2 more sources