Spaces of Orderings and Abstract Real Spectra

  • Authors
  • Murray¬†A.¬†Marshall

Part of the Lecture Notes in Mathematics book series (LNM, volume 1636)

Table of contents

  1. Front Matter
    Pages I-VI
  2. Murray A. Marshall
    Pages 1-4
  3. Murray A. Marshall
    Pages 5-17
  4. Murray A. Marshall
    Pages 19-35
  5. Murray A. Marshall
    Pages 37-59
  6. Murray A. Marshall
    Pages 83-97
  7. Murray A. Marshall
    Pages 99-131
  8. Murray A. Marshall
    Pages 133-150
  9. Murray A. Marshall
    Pages 151-181
  10. Back Matter
    Pages 183-190

About this book


This book is of interest to students as well as experts in the area of real algebraic geometry, quadratic forms, orderings, valuations, lattice ordered groups and rings, and in model theory. The original motivation comes from orderings on fields and commutative rings. This is explained as is the important application to minimal generation of semi-algebraic sets. Many results in the new theory of abstract real spectra (also called spaces of signs) appear here for the first time. The reader needs elementary knowledge of commutative rings, ordered fields and real closed fields and valuations.


Lattice algebra orderings quadratic forms semi-algebraic sets valuations

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-61729-7
  • Online ISBN 978-3-540-69996-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site
Industry Sectors
Finance, Business & Banking