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 ...
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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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