Manis Valuations and PR Fer Extensions I: A New Chapter in Commutative Algebra Manfred Knebusch

ISBN: 9783540439516

Published: August 20th 2002

Paperback

274 pages


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Manis Valuations and PR Fer Extensions I: A New Chapter in Commutative Algebra  by  Manfred Knebusch

Manis Valuations and PR Fer Extensions I: A New Chapter in Commutative Algebra by Manfred Knebusch
August 20th 2002 | Paperback | PDF, EPUB, FB2, DjVu, audiobook, mp3, RTF | 274 pages | ISBN: 9783540439516 | 4.73 Mb

The present book is devoted to a study of relative Prufer 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. aMoreThe present book is devoted to a study of relative Prufer 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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