Le gradué d’une algèbre à division valuée

DOI10.1080/00927879508825464zbMath0844.16011OpenAlexW2194579612MaRDI QIDQ4851956

M'Hammed Boulagouaz

Publication date: 21 November 1995

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

Full work available at URL: https://doi.org/10.1080/00927879508825464

zbMATH Keywords

graded algebrasdecompositionscentral simple algebrastame algebrasassociated graded algebragraded Brauer groupsvalued division algebrasSchilling valuationsalgebra of central quotientsvalued 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 of schemes (14F22)

Related Items (15)

Nondegenerate Semiramified Valued and Graded Division Algebras ⋮ Graded Hermitian forms and Springer's theorem ⋮ Kummer subfields of tame division algebras over Henselian fields. ⋮ Discriminants of symplectic graded involutions on graded simple algebras. ⋮ \(\text{SK}_1\) of graded division algebras. ⋮ Discriminants of orthogonal involutions on central simple algebras with tame gauges. ⋮ Prime to \(p\) extensions of the generic Abelian crossed product. ⋮ A Note onK-Theory of Azumaya Algebras ⋮ Indecomposable \(p\)-algebras and Galois subfields in generic Abelian crossed products. ⋮ Value functions and associated graded rings for semisimple algebras ⋮ Correspondences between valued division algebras and graded division algebras ⋮ Subfields of Nondegenerate Tame Semiramified Division Algebras ⋮ A criterion for the existence of a primitive element in a simple gr-separable graded field extension associated with an extension of valued fields ⋮ Algèbre à division graduèe cent rale ⋮ Algebraic extensions of graded and valued fields

Cites Work

• Division algebras over Henselian fields.
• Dubrovin valuation rings and Henselization
• The Henselization of a valued division algebra
• \(SK_1\) von Schiefkörpern. Seminar Bielefeld-Göttingen, 1976
• Crossed products over arithmetically graded rings
• Modules graded by G-sets
• Extensions of Valuation Rings in Central Simple Algebras
• Ostrwoski's theorem for Henselian valued skew fields.
• NONCOMMUTATIVE VALUATION RINGS IN SIMPLE FINITE-DIMENSIONAL ALGEBRAS OVER A FIELD
• Algèbre à division et extensions de corps sauvagement ramifiées de degré premier.
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