Spaces of Orderings and Abstract Real Spectra / by Murray A. Marshall

Englisch

Berlin, Heidelberg : Springer Berlin Heidelberg, 1996

Online-Ressource (VI, 198 p, online resource)

Druckausg.: Marshall, Murray A.: Spaces of orderings and abstract real spectra. - Berlin : Springer, 1996. - VI, 190 S.

978-3-540-69996-5

Weitere Ausgaben: 978-3-540-61729-7 (Druckausgabe)

DOI: 10.1007/BFb0092696

*Körper / Ordnung <Mathematik> / Spektrum <Mathematik>

*Geometry, algebraic ; Mathematics ; Algebraic geometry. ; Algebra.

Klassifikation der Library of Congress: QA564-609

Dewey Dezimal-Klassifikation: 516.35

Regensburger Verbund-Klassifikation: SI 850: SA-SP Mathematik / SI Schriftenreihen / Lecture notes in mathematics

Mathematics Subject Classification: *12D15

Mathematics Subject Classification: 12-02

Mathematics Subject Classification: 11E81

Mathematics Subject Classification: 12J20

Mathematics Subject Classification: 13J30

Mathematics Subject Classification: 14P05

Mathematics Subject Classification: 14P10

Mathematics Subject Classification: 13A18

Book Industry Communication: PBMW

bisacsh: MAT012010

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

https://zbmath.org/?q=an:0866.12001 [Zentralblatt MATH]

Elektronische Ressource - Nutzung mit Bibliotheksausweis in den Lesesälen der Staatsbibliothek zu Berlin - kein REMOTE ACCESS möglich