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Titlebook: Basic Number Theory.; André Weil Book 19732nd edition Springer-Verlag Berlin Heidelberg 1973 Cantor.Mathematica.number theory

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Lattices and duality over local fieldsates, one sees that all linear mappings of such spaces into one another are continuous; in particular, linear forms are continuous. Similarly, every injective linear mapping of such a space . into another is an isomorphism of . onto its image. As . is not compact, no subspace of . can be compact, except {0}.
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List of Scientific and Common Names,te dimension ƒ, 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 vector-space over .; if its dimension as such is ., we have . and .....
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Herrschaft - Staat - Mitbestimmungcan be done may be applied with very little change to certain fields of characteristic . >1; and the simultaneous study of these two types of fields throws much additional light on both of them. With this in mind, we introduce as follows the fields which will be considered from now on:
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,Herrschaft und moderne Subjektivität,ords, if . is such a homo-morphism, and . ∈ ., we write . for the image of . under .. We consider Hom(.), in an obvious manner, as a vector-space over .; as such, it has a finite dimension, since it is a subspace of the space of .-linear mappings of . into .. As usual, we write End (.) for Hom(.).
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Locally compact fieldste dimension ƒ, 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 vector-space over .; if its dimension as such is ., we have . and .....
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Simple algebras over local fieldsords, if . is such a homo-morphism, and . ∈ ., we write . for the image of . under .. We consider Hom(.), in an obvious manner, as a vector-space over .; as such, it has a finite dimension, since it is a subspace of the space of .-linear mappings of . into .. As usual, we write End (.) for Hom(.).
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