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Linkage of sets of cyclic algebras

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Publication:2229974
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DOI10.1016/j.jpaa.2021.106855zbMath1478.16011arXiv2104.08349OpenAlexW3196908056MaRDI QIDQ2229974

Adam Chapman

Publication date: 17 September 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.08349


zbMATH Keywords

division algebrasvaluation theorycyclic algebraslinkagefields of positive characteristic


Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Finite-dimensional division rings (16K20)


Related Items (1)

Asymptotic Brauer 𝑝-dimension



Cites Work

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  • Linked triples of quaternion algebras.
  • Symbol \(p\)-algebras of prime degree and their \(p\)-central subspaces
  • Triple linkage
  • Triple linkage of quadratic Pfister forms
  • Linkage of Pfister forms over \(\mathbb{C}(x_1,\dots,x_n)\)
  • Differential forms, linked fields, and the \(u\)-invariant
  • Quadratic forms and the u-invariant
  • On quasi algebraic closure
  • Linkage of sets of quaternion algebras in characteristic 2
  • Value Functions on Simple Algebras, and Associated Graded Rings
  • Valued Fields


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