On the cohomological 2-dimension of fields

DOI10.1080/00927879908826451zbMath0923.12008OpenAlexW2054774503MaRDI QIDQ4237106

Richard Elman, Christopher Lum

Publication date: 17 September 1999

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

Full work available at URL: https://doi.org/10.1080/00927879908826451

zbMATH Keywords

Milnor conjecturecohomological dimensionGalois cohomology groupsfinitely generated field extensionfundamental ideal of the Witt ringproperty \(A_{n}\)torsion-free powers of the fundamental ideal

Mathematics Subject Classification ID

Cohomological dimension of fields (12G10) Algebraic theory of quadratic forms; Witt groups and rings (11E81)

Related Items (3)

On the conservativity of the functor assigning to a motivic spectrum its motive ⋮ Some remarks on units in Grothendieck-Witt rings ⋮ Powers of the fundamental ideal in the Witt ring

Cites Work

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• On real local-global principles
• Hereditarily quadratically closed fields
• Classification theorems for quadratic forms over fields
• Quadratic forms under algebraic extensions
• Cohomologische Invarianten quadratischer Formen
• Pfister forms and \(K\)-theory of fields
• Nilpotence in the Witt Ring

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