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Valued Fields
Language: en
Pages: 210
Authors: Antonio J. Engler
Categories: Mathematics
Type: BOOK - Published: 2005-12-28 - Publisher: Springer Science & Business Media

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Absolute values and their completions – such as the p-adic number fields – play an important role in number theory. Krull's generalization of absolute value
Multi-Valued Fields
Language: en
Pages: 286
Authors: Yuri L. Ershov
Categories: Mathematics
Type: BOOK - Published: 2001-08-31 - Publisher: Springer Science & Business Media

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For more than 30 years, the author has studied the model-theoretic aspects of the theory of valued fields and multi-valued fields. Many of the key results inclu
Stable Domination and Independence in Algebraically Closed Valued Fields
Language: en
Pages: 189
Authors: Deirdre Haskell
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: Cambridge University Press

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This book presents research in model theory and its applications to valued fields.
Sequence Spaces and Summability over Valued Fields
Language: en
Pages: 169
Authors: P. N. Natarajan
Categories: Mathematics
Type: BOOK - Published: 2019-07-09 - Publisher: CRC Press

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Sequence spaces and summability over valued fields is a research book aimed at research scholars, graduate students and teachers with an interest in Summability
Bounds on Transfer Principles for Algebraically Closed and Complete Discretely Valued Fields
Language: en
Pages: 100
Authors: Scott Shorey Brown
Categories: Mathematics
Type: BOOK - Published: 1978 - Publisher: American Mathematical Soc.

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We study the replacement of quantifiers in statements about algebraically closed fields or complete discretely valued fields with residue class field [italic]Z[