Valued Fields [electronic resource] / by Antonio J. Engler, Alexander Prestel.
By: Engler, Antonio J [author.].
Contributor(s): Prestel, Alexander [author.]  SpringerLink (Online service).
Material type: TextSeries: Springer Monographs in Mathematics: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005Description: X, 208 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540300359.Subject(s): Algebra  Number theory  Geometry, algebraic  Logic, Symbolic and mathematical  Algebra  Number Theory  Algebraic Geometry  Mathematical Logic and FoundationsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 512 Online resources: Click here to access onlineItem type  Current location  Call number  Status  Date due  Barcode  Item holds  

EBOOKS 
ISI Library, Kolkata

Available  EB1054 
Absolute Values  Valuations  Extension of Valuations  Henselian Fields  Structure Theory  Applications of Valuation Theory.
Absolute values and their completions like the padic number fields play an important role in number theory. Krull's generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valuation theory, the notion of a completion has to be replaced by that of the socalled Henselization. In this book, the theory of valuations as well as of Henselizations is developed. The presentation is based on the knowledge acquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory as to Artin's Conjecture on the padic number fields that could not be obtained by the use of absolute values only.
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Valued fields / by Engler, Antonio J. 
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