Abelian crossed products and scalar extensions of central simple algebras.

DOI10.1007/s10958-009-9301-xzbMath1223.16007OpenAlexW2065659038MaRDI QIDQ1036976

Vyacheslav I. Yanchevskiĭ, Sergey V. Tikhonov

Publication date: 13 November 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9301-x

zbMATH Keywords

crossed productsBrauer groupscentral simple algebrasexponentsSchur indicesregular field extensions

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Finite-dimensional division rings (16K20) Skew fields, division rings (12E15)

Cites Work

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• Index reduction formulas for twisted flag varieties. I
• Symbol algebras and cyclicity of algebras after a scalar extension.
• On central division algebras
• Bicyclic algebras of prime exponent over function fields
• The Index of a Brauer Class on a Brauer-Severi Variety
• Finite-Dimensional Division Algebras over Fields

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