Indecomposable Division Algebras

DOI10.2307/2159385zbMath0763.16008OpenAlexW4233648570MaRDI QIDQ3987600

B. A. Sethuraman

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159385

zbMATH Keywords

exponentdegreevaluationcyclic algebraspurely transcendental extensiongeneric division algebrastensor product of proper subalgebras

Mathematics Subject Classification ID

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

Related Items (4)

Indecomposable division algebras with a baer ordering ⋮ Projective bases of division algebras and groups of central type. II. ⋮ Decomposability and embeddability of discretely Henselian division algebras ⋮ Valuations on tensor powers of a division algebra.

Cites Work

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• Division algebras over Henselian fields.
• Correction to Cyclic division algebras
• Indecomposable algebras of prime exponent.
• Indecomposible division algebras of prime exponent.
• A New Construction of Noncrossed Product Algebras
• The Index of a Brauer Class on a Brauer-Severi Variety
• Indecomposable division algebras
• Division algebras of degree 4 and 8 with involution

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