Spaces of Orderings and Abstract Real Spectra: 1636 (Lecture Notes in Mathematics, 1636) - Softcover

Marshall, Murray A.

 
9783540617297: Spaces of Orderings and Abstract Real Spectra: 1636 (Lecture Notes in Mathematics, 1636)

Synopsis

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.

"synopsis" may belong to another edition of this title.

Synopsis

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.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9783662204276: Spaces of Orderings and Abstract Real Spectra

Featured Edition

ISBN 10:  3662204274 ISBN 13:  9783662204276
Publisher: Springer, 2014
Softcover