Algèbre à division graduèe cent rale

DOI10.1080/00927879808826318zbMath0918.16014OpenAlexW2016639826MaRDI QIDQ4212552

M'Hammed Boulagouaz

Publication date: 16 June 1999

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

Full work available at URL: https://doi.org/10.1080/00927879808826318

zbMATH Keywords

graded algebrasexponentsgraded division ringsnoncommutative valuation theorydivision algebras of quotients

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Graded rings and modules (associative rings and algebras) (16W50)

Related Items

Nondegenerate Semiramified Valued and Graded Division Algebras ⋮ Kummer subfields of tame division algebras over Henselian fields. ⋮ Discriminants of symplectic graded involutions on graded simple algebras. ⋮ Discriminants of orthogonal involutions on central simple algebras with tame gauges. ⋮ ON GENERALIZED GRADED CROSSED PRODUCTS AND KUMMER SUBFIELDS OF SIMPLE 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

Cites Work

• Division algebras over Henselian fields.
• Filtrations on simple Artinian rings
• Ostrwoski's theorem for Henselian valued skew fields.
• Algèbre à division et extensions de corps sauvagement ramifiées de degré premier.
• Le gradué d’une algèbre à division valuée