[PDF.04hp] Valuations, Orderings, and Milnor $K$-Theory

Valuations, Orderings, and Milnor $K$-Theory

[PDF.xm19] Valuations, Orderings, and Milnor $K$-Theory

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 | #5486439 in Books |  2006-03-28 | Original language:English | PDF # 1 |  10.25 x7.25 x.50l,1.60 | File type: PDF | 288 pages

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This monograph is a comprehensive exposition of the modern theory of valued and ordered fields. It presents the classical aspects of such fields: their arithmetic, topology, and Galois theory. Deeper cohomological aspects are studied in its last part in an elementary manner. This is done by means of the newly developed theory of generalized Milnor $K$-rings. The book emphasizes the close connections and interplay between valuations and orderings, and to a large extent, s...

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