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Hermitian Forms over Ordered ∗ -Fields

✍ Scribed by Thomas C Craven; Tara L Smith

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
152 KB
Volume
216
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let D be a division ring with an involution. Assuming that D admits Baer orderings, we can study the Witt group of Hermitian forms over D by observing its image in the ring of continuous functions on the space of orderings. We are led to define a new class of rings which, when viewed in an abstract setting, provide a natural generalization of the spaces of orderings and real spectra studied in real algebraic geometry.

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