Title: Manis Valuations and Pr�fer Extensions I: A New Chapter in Commutative Algebra (Lecture Notes in Mathematics, 1791)
Publisher: Springer
Publication Date: 2002
Language: English
ISBN 10: 354043951X
ISBN 13: 9783540439516
Binding: Soft cover
Condition: New

About this title

Synopsis

The present book is devoted to a study of relative Pr�fer 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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