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On hermitian trace forms over hilbertian fields

✍ Scribed by Grégory Berhuy


Publisher
Springer-Verlag
Year
2001
Tongue
French
Weight
112 KB
Volume
237
Category
Article
ISSN
0025-5874

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Hermitian Forms over Ordered ∗ -Fie
✍ Thomas C Craven; Tara L Smith 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 152 KB

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