The image of the natural homomorphism of Witt rings of orders in a global field

• Autorzy: Beata Rothkegel
• Języki publikacji: EN

Abstrakty

EN

Let R be a Dedekind domain whose field of fractions is a global field. Moreover, let 𝓞 < R be an order. We examine the image of the natural homomorphism φ : W𝓞 → WR of the corresponding Witt rings. We formulate necessary and sufficient conditions for the surjectivity of φ in the case of all nonreal quadratic number fields, all real quadratic number fields K such that -1 is a norm in the extension K/ℚ, and all quadratic function fields.

Kategorie tematyczne

• 19G12: Witt groups of rings
• 11E81: Algebraic theory of quadratic forms; Witt groups and rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2013
• Tom: 160
• Numer: 4
• Strony: 349-384

Daty

wydano

2013

Twórcy

autor

Beata Rothkegel

• Institute of Mathematics, University of Silesia, Bankowa 14, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/aa160-4-4