Overview

This work should be of interest to both students and professionals 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 theory of abstract real spectra (also called spaces of signs) are included. The reader requires an elementary knowledge of commutative rings, ordered fields and real closed fields and valuations.

Full Product Details

Author:   Murray A. Marshall
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1996 ed.
Volume:   1636
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   0.650kg
ISBN:  

9783540617297

ISBN 10:   3540617299
Pages:   198
Publication Date:   02 October 1996
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Orderings on fields.- Spaces of orderings.- Fans and the representation theorem.- P-structures, connected components and 0 the isotropy theorem.- The real spectrum of a ring.- Abstract real spectra.- Minimal generation of constructible sets.- Structure results and realization results.

Reviews

Author Information

Tab Content 6

Author Website:  

Countries Available

All regions