脾气好 发表于 2025-3-21 16:46:55

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吞噬 发表于 2025-3-21 20:24:34

https://doi.org/10.1007/978-3-642-77247-4n .. If . is also a finite set of places of ., and .⊃ ., then .(.) is contained in .(.); moreover, its topology and its ring structure are those induced by those of .(.) and k.(.) is an open subset of k.(.).

发展 发表于 2025-3-22 02:25:51

Herpes Zoster and Vascular Risk algebra .(.) is uniquely determined up to an isomorphism, and .(.) and .(.) are uniquely determined. One says that . is . or . at . according as . is trivial over . or not, i. e. according as .(.)=1 or .(.) > 1.

榨取 发表于 2025-3-22 06:06:00

Adelesn .. If . is also a finite set of places of ., and .⊃ ., then .(.) is contained in .(.); moreover, its topology and its ring structure are those induced by those of .(.) and k.(.) is an open subset of k.(.).

伟大 发表于 2025-3-22 12:33:39

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FLEET 发表于 2025-3-22 16:06:28

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全神贯注于 发表于 2025-3-22 18:38:12

Classification and Nomenclature, finite degree . over .. If . is an .-field and . ≠ ., we must have . = ., . = ., . = 2; then, by corollary 3 of prop. 4, Chap. III-3, .(.) = .+. and .(.) = .; . maps . onto ., and . maps . onto ., which is a subgroup of . of index 2.

天空 发表于 2025-3-22 22:47:14

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经典 发表于 2025-3-23 04:03:59

https://doi.org/10.1007/978-3-642-61945-8algebraic number field; algebraic number theory; number theory

exquisite 发表于 2025-3-23 08:18:10

978-3-540-58655-5Springer-Verlag Berlin Heidelberg 1995
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查看完整版本: Titlebook: Basic Number Theory; André Weil Book 1995Latest edition Springer-Verlag Berlin Heidelberg 1995 algebraic number field.algebraic number the