Decomposing and ordering a certain crossed product

DOI10.1080/00927879308824726zbMath0795.16011OpenAlexW2017553796MaRDI QIDQ3135707

Maurice J. Chacron

Publication date: 10 October 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824726

zbMATH Keywords

anti-automorphismtensor productdivision algebralinear orderingHenselian valuationlifting orderingsstable quaternion basis

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Finite-dimensional division rings (16K20) Twisted and skew group rings, crossed products (16S35) Topological and ordered rings and modules (16W80) Skew fields, division rings (12E15)

Related Items (3)

Certain valued involutorial division algebras of exponent 2 and small residue degree ⋮ Tractability of algebraic function fields in one variable of genus one over global fields ⋮ Tractability of algebraic function fields in one variable of genus zero over global fields

Cites Work

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• Division algebras over Henselian fields.
• On decomposing c-valued division rings
• Correction to a theorem on c-ordering
• The Henselization of a valued division algebra
• c-orderable division rings with involution
• Generic Abelian crossed products and \(p\)-algebras
• Discriminants of involutions on Henselian division algebras
• C-Valuations and Normal C-Orderings
• A symmetric version of the notion of c-ordering
• DIEUDONNÉ'S CONJECTURE ON THE STRUCTURE OF UNITARY GROUPS OVER A DIVISION RING, AND HERMITIANK-THEORY
• Witt Rings and Brauer Groups Under Multiquadratic Extensions, I
• Division algebras of degree 4 and 8 with involution

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