Manis Valuations and Prüfer Extensions I A New Chapter in Commutative Algebra
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Manis Valuations and Prüfer Extensions I A New Chapter in Commutative Algebra

SKU: 9783540456254

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Full Title

Manis Valuations and Prüfer Extensions I A New Chapter in Commutative Algebra
Author(s)

Manfred Knebusch, Digen Zhang
Edition
ISBN

9783540456254, 9783540439516
Publisher

Springer
Format

PDF and EPUB

Description

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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