Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1791)
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About this book
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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Table of contents (8 chapters)
Bibliographic Information
Book Title: Manis Valuations and Prüfer Extensions I
Book Subtitle: A New Chapter in Commutative Algebra
Authors: Manfred Knebusch, Digen Zhang
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b84018
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2002
Softcover ISBN: 978-3-540-43951-6Published: 20 August 2002
eBook ISBN: 978-3-540-45625-4Published: 19 October 2004
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: CCLXXXIV, 274