Cyclic and elementary abelian subfields of Malcev-Neumann division algebras

DOI10.1016/0022-4049(86)90080-0zbMath0602.16020OpenAlexW2043315621MaRDI QIDQ1081673

Jean-Pierre E. Tignol

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-4049(86)90080-0

zbMATH Keywords

Galois groupexponentcrossed productskew fieldMalcev-Neumann constructionKummer subfieldstwisted power series ringgeneric division algebraring of iterated Laurent series

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Skew fields, division rings (12E15) Division rings and semisimple Artin rings (16Kxx)

Related Items

Galois subfields of tame division algebras., ESSENTIAL DIMENSION OF GENERIC SYMBOLS IN CHARACTERISTIC, Decomposition of Mal'cev-Neumann division algebras with involution, Produits croisés mixtes: extensions de groupes et extensions d'anneaux, Kummer subfields of tame division algebras, Kummer subfields of tame division algebras over Henselian fields., Prime to \(p\) extensions of the generic Abelian crossed product., Indecomposable \(p\)-algebras and Galois subfields in generic Abelian crossed products., Open problems on central simple algebras., A New Construction of Noncrossed Product Algebras, Value Functions on Central Simple Algebras, Division algebras over Henselian fields., The trace form of a central simple algebra of degree 4.

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