Wittrings [electronic resource] /

I: Basic facts about symmetric bilinear forms, and definition of the Wittring. -- § 1 Bilinear Spaces -- § 2 Witt- and Grothendieck-rings -- Appendix: Quadratic Forms -- II: The structure of Wittrings -- § 1 Generators and Relations -- § 2 The prime ideals of a Wittring -- § 3 Nilpotent and torsion elements -- § 4 Application: The theorem of Artin-Pfister -- § 5 Complements to the structure theory -- § 6 Characterization of abstract Wittrings -- § 7 Fields with isomorphic Wittrings -- III: Reduced Wittrings -- § 1 Von Neumann regular rings -- § 2 Topological description of reduced Wittrings -- § 3 A Nullstellensatz for Witt ideals and a generalization of the theorem of Artin-Pfister -- § 4 When are Wittrings group rings? -- § 5 Fields with strong approximation for orderings -- References.

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Bibliographic Details
Main Authors: Knebusch, Manfred. author., Kolster, Manfred. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:ger
Published: Wiesbaden : Vieweg+Teubner Verlag, 1982
Subjects:Mathematics., Special functions., Special Functions., Mathematics, general.,
Online Access:http://dx.doi.org/10.1007/978-3-322-84382-1
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