𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Spaces of Orderings and Abstract Real Spectra

✍ Scribed by Murray A. Marshall (auth.)

Book ID
127453579
Publisher
Springer
Year
1996
Tongue
English
Weight
1 MB
Edition
1
Category
Library
City
Berlin; New York
ISBN
3540699961
ISSN
0075-8434

No coin nor oath required. For personal study only.

✦ 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.

✦ Subjects

Algebraic Geometry

πŸ“œ SIMILAR VOLUMES

Spaces of Orderings and Abstract Real Sp
Spaces of Orderings and Abstract Real Spectra Volume 163
✍ Marshall M. πŸ“‚ Library πŸ“… 1996 🌐 English βš– 792 KB

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 imp

Spaces of Orderings and Separation of Co
Spaces of Orderings and Separation of Connected Components of Real Varieties by Polynomials
✍ M.A. Marshall πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 774 KB

The theory of spaces of orderings developed in [13-18] is useful in studying real varieties at the local and semi-local level; e.g., see [7]. On the other hand, N. Schwartz shows in [27] that in studying global separation of connected components of real varieties, more general sorts of structure ari

Formal power series over Cartesian group
Formal power series over Cartesian groups and their spaces of orderings
✍ Franz Kalhoff πŸ“‚ Article πŸ“… 1990 πŸ› Springer 🌐 English βš– 709 KB

We introduce formal power series over Cartesian groups on arbitrary, ordered loops, and show that, under a weak additional hypothesis, their spaces of orderings (in the sense of M. Marshall) are as in the classical case. In particular, we obtain that any classical space of orderings can be realized