Lecture Notes in Mathematics

Manis Valuations and Prüfer Extensions I

A New Chapter in Commutative Algebra

Authors: Knebusch, Manfred, Zhang, Digen

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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.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-540-45625-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-540-43951-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Manis Valuations and Prüfer Extensions I
Book Subtitle
A New Chapter in Commutative Algebra
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1791
Copyright
2002
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-45625-4
DOI
10.1007/b84018
Softcover ISBN
978-3-540-43951-6
Series ISSN
0075-8434
Edition Number
1
Number of Pages
CCLXXXIV, 274
Topics