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The book delves into the significance of absolute values and their completions, particularly in relation to p-adic number fields and their impact on number theory. It explores Krull's extension of absolute values to valuations, highlighting their applications in algebraic geometry and other mathematical fields. Additionally, it discusses the concept of Henselization as a necessary replacement for completion within valuation theory, offering insights into advanced mathematical structures and their interconnections.
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Valued Fields, Antonio J. Engler, Alexander Prestel
- Language
- Released
- 2010
- product-detail.submit-box.info.binding
- (Paperback)
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- Title
- Valued Fields
- Language
- English
- Authors
- Antonio J. Engler, Alexander Prestel
- Publisher
- Springer Berlin Heidelberg
- Released
- 2010
- Format
- Paperback
- Pages
- 216
- ISBN13
- 9783642063459
- Category
- Mathematics
- Description
- The book delves into the significance of absolute values and their completions, particularly in relation to p-adic number fields and their impact on number theory. It explores Krull's extension of absolute values to valuations, highlighting their applications in algebraic geometry and other mathematical fields. Additionally, it discusses the concept of Henselization as a necessary replacement for completion within valuation theory, offering insights into advanced mathematical structures and their interconnections.