Results 241 to 250 of about 2,513,918 (282)
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1999
Every field k is equipped with a distinguished Galois extension: the separable closure \(\bar k|k\). Its Galois group \({G_k} = G(\bar k|k)\) is called the absolute Galois group of k. As a rule, this extension will have infinite degree. It does, however, have the advantage of collecting all finite Galois extensions of k. This is why it is reasonable to
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Every field k is equipped with a distinguished Galois extension: the separable closure \(\bar k|k\). Its Galois group \({G_k} = G(\bar k|k)\) is called the absolute Galois group of k. As a rule, this extension will have infinite degree. It does, however, have the advantage of collecting all finite Galois extensions of k. This is why it is reasonable to
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1986
The role held in local class field theory by the multiplicative group of the base field is taken in global class field theory by the idele class group. The notion of idele is a modification of the notion of ideal. It was introduced by the French mathematician Claude Chevalley (1909–1984) with a view to providing a suitable basis for the important local-
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The role held in local class field theory by the multiplicative group of the base field is taken in global class field theory by the idele class group. The notion of idele is a modification of the notion of ideal. It was introduced by the French mathematician Claude Chevalley (1909–1984) with a view to providing a suitable basis for the important local-
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1985
L'article est la première partie d'une ouvrage qui a comme but un exposé detailé du mémoire de \textit{M. Hazewinkel}: ''Local class field theory is easy'', Adv. Math. 18, 148--181 (1975; Zbl 0312.12022).
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L'article est la première partie d'une ouvrage qui a comme but un exposé detailé du mémoire de \textit{M. Hazewinkel}: ''Local class field theory is easy'', Adv. Math. 18, 148--181 (1975; Zbl 0312.12022).
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1979
Standard local class field theory is concerned with complete fields K whose residue field is finite.
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Standard local class field theory is concerned with complete fields K whose residue field is finite.
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Nuclear effective field theory: Status and perspectives
Reviews of Modern Physics, 2020Hans-Werner Hammer +2 more
exaly
Cohomology in Class Field Theory
The Annals of Mathematics, 1952Hochschild, G., Nakayama, T.
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1984
By a local field in commutative algebra we mean usually a field of fractions of a complete discrete valuation ring. This notion has many applications in arithmetics and algebraic geometry. In the papers [Usp. Mat. Nauk 30, No. 1 (181), 253--254 (1975; Zbl 0302.14005); Izv. Akad. Nauk SSSR, Ser. Mat.
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By a local field in commutative algebra we mean usually a field of fractions of a complete discrete valuation ring. This notion has many applications in arithmetics and algebraic geometry. In the papers [Usp. Mat. Nauk 30, No. 1 (181), 253--254 (1975; Zbl 0302.14005); Izv. Akad. Nauk SSSR, Ser. Mat.
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Tensor lattice field theory for renormalization and quantum computing
Reviews of Modern Physics, 2022Yannick Meurice +2 more
exaly