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

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

Paperback

Series: Lecture Notes in Mathematics, Book 1791

AlgebraGeneral Mathematics

ISBN10: 354043951X
ISBN13: 9783540439516
Publisher: Springer
Published: Aug 20 2002
Pages: 274
Weight: 0.88
Height: 0.60 Width: 6.14 Depth: 9.21
Language: English
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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