Discriminants of orthogonal involutions on central simple algebras with tame gauges.

DOI10.1016/j.jpaa.2011.02.004zbMath1244.16035OpenAlexW2156811073MaRDI QIDQ640910

Karim Mounirh

Publication date: 21 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.02.004

zbMATH Keywords

graded ringsgraded division algebrasgraded simple algebrashomogeneous elements\(E\)-gaugesdiscriminants of orthogonal involutionsgraded fieldsinvolutions of the first kindinvolutions of the second kindsurmultiplicative \(E\)-value functionstame valued division algebrastotally ordered Abelian groupstotally ramified extensionstotally unramified extensions

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Graded rings and modules (associative rings and algebras) (16W50) Finite-dimensional division rings (16K20) Valued fields (12J10)

Related Items (2)

Discriminants of symplectic graded involutions on graded simple algebras. ⋮ ON GENERALIZED GRADED CROSSED PRODUCTS AND KUMMER SUBFIELDS OF SIMPLE ALGEBRAS

Cites Work

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• Algèbre à division graduèe cent rale
• Algebraic extensions of graded and valued fields
• Le gradué d’une algèbre à division valuée
• Value functions and associated graded rings for semisimple algebras

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