Subfields of Nondegenerate Tame Semiramified Division Algebras

DOI10.1080/00927871003591926zbMath1221.16017arXiv0905.3694OpenAlexW2962769752MaRDI QIDQ3084554

Karim Mounirh, Adrian R. Wadsworth

Publication date: 25 March 2011

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

Full work available at URL: https://arxiv.org/abs/0905.3694

zbMATH Keywords

central division algebrasgraded division algebrasgraded Brauer groupsHenselizationsvalued division algebrasAbelian crossed products

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) Valued fields (12J10) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (5)

Galois subfields of tame division algebras. ⋮ Discriminants of symplectic graded involutions on graded simple algebras. ⋮ \(\text{SK}_1\) of graded division algebras. ⋮ ON GENERALIZED GRADED CROSSED PRODUCTS AND KUMMER SUBFIELDS OF SIMPLE ALGEBRAS ⋮ Factorization of polynomials over valued fields based on graded polynomials

Cites Work

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• The Index of a Brauer Class on a Brauer-Severi Variety
• Algèbre à division graduèe cent rale
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• Le gradué d’une algèbre à division valuée
• Nondegenerate Semiramified Valued and Graded Division Algebras
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