Orderings, valuations, and quadratic forms / by T.Y. Lam.

Format:

Book

Author/Creator:

Lam, T. Y. (Tsit-Yuen), 1942- author.

Contributor:

Conference Board of the Mathematical Sciences.

Series:

CBMS Regional Conference Series in Mathematics, 2380-5668 ; v. 52

Language:

English

Subjects (All):

Ordered fields.

Valuation theory.

Forms, Quadratic.

Physical Description:

1 online resource (vii, 143 pages : illustrations)

Place of Publication:

Providence, R.I. : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1983.

System Details:

Mode of access : World Wide Web

Contents:

1. The reduced theory of quadratic forms 2. Compatibility between valuations and orderings 3. Compatibility between valuations and preorderings 4. $T$-forms under a compatibile valuation 5. Introduction to fans 6. The Representation Problem: solution for fans 7. The Representation Problem: reduction to fans 8. The chain length of a preordering 9. The real holomorphy ring and real-valued places 10. Real-valued places associated to a preordering $T$ 11. The Prüfer ring $A_T$ associated with a preordering $T$ 12. The valuation ring $A^T$ associated with a preordering $T$ 13. Stability index of preorderings 14. $T$-semiorderings 15. Compatibility between valuations and $T$-semiorderings 16. Pasch preorderings and their characterizations 17. SAP preorderings and their characterizations 18. An isotropy principle

Notes:

"Expository lectures from the CBMS regional conference held at Carleton University, August 10-14, 1981"--T.p. verso.

Bibliography: pages 138-143.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Lam, T. Y. 1942- Orderings, valuations, and quadratic forms /

ISBN:

9781470424145 (online)

Access Restriction:

Restricted for use by site license.