abolish 发表于 2025-3-25 06:22:29
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The theorem of Riemann-Rocho algebraic geometry; this lies outside the scope of this book. The results to be given here should be regarded chiefly as an illustration for the methods developed above and as an introduction to a more general theory.陈旧 发表于 2025-3-25 15:29:15
Simple algebrashe same properties. Tensor-products will be understood to be taken over the groundfield ; thus we write .⊗. instead of .⊗.. when . are algebras over ., and .⊗. or .., instead of .⊗.., when . is an algebra over . and . a field containing .. being always considered as an algebra over ..right-atrium 发表于 2025-3-25 18:50:39
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Simple algebras over A-fields; the 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.Ruptured-Disk 发表于 2025-3-26 09:19:23
Global classfield theory–1, for that of ?. into ?. We write .. for the group of characters of ?, or, what amounts to the same, of ?; for each . ∈ .., we write ..=.°.. this is a character of ?., or, what amounts to the same, of ?..overwrought 发表于 2025-3-26 15:10:53
Herrschaft - Staat - Mitbestimmungor all . not in . 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 ..(.) is an open subset of ..(.).苦恼 发表于 2025-3-26 20:04:35
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