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UNINA9910480124903321 |
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Autore |
Brown Scott Shorey <1951-> |
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Titolo |
Bounds on transfer principles for algebraically closed and complete discretely valued fields / / Scott Shorey Brown |
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Pubbl/distr/stampa |
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Providence : , : American Mathematical Society, , [1978] |
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©1978 |
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ISBN |
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Descrizione fisica |
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1 online resource (99 p.) |
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Collana |
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Memoirs of the American Mathematical Society ; ; number 204 |
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Disciplina |
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Soggetti |
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Algebraic fields |
Transfer functions |
p-adic numbers |
Valued fields |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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A revision of the author's thesis, Princeton University, 1976. |
Includes index. |
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Nota di bibliografia |
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Bibliography: pages 89-90. |
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Nota di contenuto |
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""Table of Contents""; ""Abstract""; ""Acknowledgements""; ""I. Introduction""; ""II. Prerequisites in Logic""; ""III. Methods for Limitation of Quantifiers""; ""IV. Additive Rational Numbers""; ""V. Additive Integers""; ""VI. Projection of a Set of Polynomials""; ""VII. Real Numbers""; ""VIII. Valued Fields""; ""IX. Algebraically Closed Fields""; ""X. Convergent Power Series Over Complete Algebraically Closed Valued Fields""; ""XI. Hensel's Lemma""; ""XII. Convergence of Series Solutions of Polynomials"" |
""XIII. Complete Discretely Valued Fields with Residue Class Field Z[sub(p)] and p Large""""XIV. Applications to the Ax-Kochen Transfer Principle and the Artin Conjecture""; ""Bibliography""; ""Notation""; ""Index"" |
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