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Spaces of Orderings and Abstract Real Spectra

Spaces of Orderings and Abstract Real Spectra

Paperback

Series: Lecture Notes in Mathematics, Book 1636

AlgebraGeometry

ISBN10: 3540617299
ISBN13: 9783540617297
Publisher: Springer
Published: Oct 2 1996
Pages: 198
Weight: 0.64
Height: 0.43 Width: 6.14 Depth: 9.21
Language: English
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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Algebra