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Titlebook: Basic Number Theory; André Weil Book 1995Latest edition Springer-Verlag Berlin Heidelberg 1995 algebraic number field.algebraic number the

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Neurological Complications of Herpes ZosterThe purpose of classfield theory is to give a description of the abelian extensions of the types of fields studied in this book, viz., local fields and .-fields. Here we assemble part of the formal machinery common to both types.
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Algebraic number-fieldsWe shall need some elementary results about vector-spaces over ., involving the following concept:
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Local classfield theoryThe purpose of classfield theory is to give a description of the abelian extensions of the types of fields studied in this book, viz., local fields and .-fields. Here we assemble part of the formal machinery common to both types.
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Anita F. Meier,Andrea S. Laimbachermorphic to the prime field . = ., with which we may identify it. Then . may be regarded as a vector-space over .; as such, it has an obviously finite dimension ., and the number of its elements is . = .. If . is a subfield of a field . with . = . elements, . may also be regarded e.g. as a left vecto
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S. Moira Brown,Alasdair R. MacLean. at .; if . is a finite place, . is the maximal compact subring of ., and . the maximal ideal in .. Moreover, in the latter case, we will agree once for all to denote by . the module of the field . and by . a prime element of ., so that, by th. 6 of Chap. I-4, ./. is a field with . elements, and |.
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