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

Manis Valuations and Prüfer Extensions I A New Chapter in Commutative Algebra / by Manfred Knebusch, Digen Zhang.

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 ty...

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Bibliographic Details
Main Authors: Knebusch, Manfred (Author), Zhang, Digen (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
Edition:1st ed. 2002.
Series:Lecture Notes in Mathematics, 1791
Springer eBook Collection.
Subjects:
Commutative algebra.
Commutative rings.
Algebraic geometry.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Introduction
  • Basics on Manis valuations and Prüfer extensions
  • Multiplicative ideal theory
  • PM-valuations and valuations of weaker type
  • Appendix A: Flat epimorphisms
  • Appendix B: Arithmetical rings
  • Appendix C: A direct proof of the existence of Manis valuation hulls
  • References
  • Index.

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