Power-Central Elements in Tensor Products of Symbol Algebras

DOI10.1080/00927872.2015.1087007zbMath1353.16014arXiv1310.5423OpenAlexW2962833618MaRDI QIDQ2817186

Demba Barry

Publication date: 29 August 2016

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

Full work available at URL: https://arxiv.org/abs/1310.5423

zbMATH Keywords

valuationcentral simple algebrasymbol algebraarmaturein/decomposable central division algebrapower-central elementsquare-central element

Mathematics Subject Classification ID

Cohomological dimension of fields (12G10) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Finite-dimensional division rings (16K20) Brauer groups (algebraic aspects) (16K50) Skew fields, division rings (12E15)

Related Items (5)

SYMMETRIC SQUARE-CENTRAL ELEMENTS IN PRODUCTS OF ORTHOGONAL INVOLUTIONS IN CHARACTERISTIC TWO ⋮ Decomposable and indecomposable algebras of degree 8 and exponent 2. ⋮ The descent of biquaternion algebras in characteristic two ⋮ Degree 3 relative invariant for unitary involutions ⋮ On the decomposition of metabolic involutions

Cites Work

• Unnamed Item
• Indecomposable algebras of prime exponent.
• Cyclic division algebras
• Biquaternion algebras and quartic extensions
• Decomposable and indecomposable algebras of degree 8 and exponent 2.
• Finite-Dimensional Division Algebras over Fields
• Division algebras of degree 4 and 8 with involution

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