Spaces of Orderings and Abstract Real Spectra

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  • Spaces of Orderings and Abstract Real Spectra Book Detail

  • Author : Murray A. Marshall
  • Release Date : 2006-11-17
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 191
  • ISBN 13 : 3540699961
  • File Size : 22,22 MB

Spaces of Orderings and Abstract Real Spectra by Murray A. Marshall PDF Summary

Book Description: 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.

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