E-Book, Deutsch, Band 2, 96 Seiten, eBook
Reihe: Aspects of Mathematics
Knebusch / Kolster Wittrings
1982
ISBN: 978-3-322-84382-1
Verlag: Vieweg & Teubner
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Deutsch, Band 2, 96 Seiten, eBook
Reihe: Aspects of Mathematics
ISBN: 978-3-322-84382-1
Verlag: Vieweg & Teubner
Format: PDF
Kopierschutz: 1 - PDF Watermark
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.