Manis Valuations and Prüfer Extensions I

Download or Read eBook Manis Valuations and Prüfer Extensions I PDF written by Manfred Knebusch and published by Springer. This book was released on 2004-10-19 with total page 276 pages. Available in PDF, EPUB and Kindle.
Manis Valuations and Prüfer Extensions I
Author :
Publisher : Springer
Total Pages : 276
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ISBN-10 : 9783540456254
ISBN-13 : 3540456252
Rating : 4/5 (54 Downloads)

Book Synopsis Manis Valuations and Prüfer Extensions I by : Manfred Knebusch

Book excerpt: The present book is devoted to a study of relative Prüfer rings and Manis valuations, with an eye to application in real and p-adic geometry. If one wants to expand on the usual algebraic geometry over a non-algebraically closed base field, e.g. a real closed field or p-adically closed field, one typically meets lots of valuation domains. Usually they are not discrete and hence not noetherian. Thus, for a further develomemt of real algebraic and real analytic geometry in particular, and certainly also rigid analytic and p-adic geometry, new chapters of commutative algebra are needed, often of a non-noetherian nature. The present volume presents one such chapter.


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This volume has been curated from two sources: presentations from the Conference on Rings and Polynomials, Technische Universität Graz, Graz, Austria, July 19