On Witt Rings of Quaternion Algebras over 1-Hilbert Fields

DOI10.1081/AGB-120017342zbMath1027.11027OpenAlexW2063885883MaRDI QIDQ4801394

Clotilzio Moreira dos Santos

Publication date: 7 April 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120017342

zbMATH Keywords

valuationquaternion algebraabstract Witt ring1-Hilbert fieldWitt ring of a skew field

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Skew fields, division rings (12E15)

Cites Work

• Unnamed Item
• Witt rings of quaternion algebras
• Rigid elements, valuations, and realization of Witt rings
• Witt rings and orderings of skew fields
• Characterization of fans and hereditarily pythagorean fields
• Fields with prescribed quadratic form schemes
• Valuation Rings and Rigid Elements in Fields
• Generalized Hilbert fields.

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