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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Bibliographic Information

Book Title: Spaces of Orderings and Abstract Real Spectra
Authors: Murray A. Marshall
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0092696
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1996
Softcover ISBN: 978-3-540-61729-7Published: 02 October 1996
eBook ISBN: 978-3-540-69996-5Published: 17 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VI, 198
Topics: Algebraic Geometry, Order, Lattices, Ordered Algebraic Structures

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Table of contents (9 chapters)

Front Matter

Back Matter

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