A new chapter in commutative algebra

Bibliographic Information

A new chapter in commutative algebra

Manfred Knebusch, Digen Zhang

(Lecture notes in mathematics, 1791 . Manis valuations and prüfer extensions ; 1)

Springer, c2002

Available at  / 73 libraries

Search this Book/Journal

Note

Bibliography: p. [257]-262

Includes indexes

Description and Table of Contents

Description

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. 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

Introduction.- Basics on Manis valuations and Prufer 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.

by "Nielsen BookData"

Related Books: 1-1 of 1

Details

  • NCID
    BA58571259
  • ISBN
    • 354043951X
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin ; Tokyo
  • Pages/Volumes
    267 p.
  • Size
    24 cm
  • Parent Bibliography ID
Page Top