Nondegenerate Semiramified Valued and Graded Division Algebras

DOI10.1080/00927870802179412zbMath1167.16014OpenAlexW2136132686MaRDI QIDQ5301507

Karim Mounirh

Publication date: 20 January 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802179412

zbMATH Keywords

graded division algebrastame division algebrasgraded Brauer groupsHenselizationsvalued division algebrasnicely semiramified division algebrasgeneric Abelian crossed productsdefectless division algebrasinertially split division algebras

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Graded rings and modules (associative rings and algebras) (16W50) Finite-dimensional division rings (16K20) Brauer groups (algebraic aspects) (16K50) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items

Kummer subfields of tame division algebras over Henselian fields., \(\text{SK}_1\) of graded division algebras., Indecomposable \(p\)-algebras and Galois subfields in generic Abelian crossed products., Unitary \(\mathrm{SK}_1\) of semiramified graded and valued division algebras., Degeneracy and decomposability in Abelian crossed products., Subfields of Nondegenerate Tame Semiramified Division Algebras

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