Nonassociative cyclic algebras

DOI10.1007/s11856-014-0021-7zbMath1372.17003OpenAlexW2061315961MaRDI QIDQ2017167

Andrew Steele

Publication date: 25 June 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-014-0021-7

zbMATH Keywords

nonassociative algebras

Mathematics Subject Classification ID

Nonassociative division algebras (17A35)

Related Items (10)

How to obtain lattices from \((f,\sigma,\delta)\)-codes via a generalization of construction A ⋮ Nonassociative differential extensions of characteristic \(p\) ⋮ Finite nonassociative algebras obtained from skew polynomials and possible applications to \((f,\sigma,\delta)\)-codes ⋮ The nonassociative algebras used to build fast-decodable space-time block codes ⋮ Tensor products of nonassociative cyclic algebras ⋮ The automorphisms of generalized cyclic Azumaya algebras ⋮ How to obtain division algebras used for fast-decodable space-time block codes ⋮ Nonassociative cyclic extensions of fields and central simple algebras ⋮ The automorphisms of Petit’s algebras ⋮ Quotients of orders in algebras obtained from skew polynomials with applications to coding theory

Cites Work

• Space-time block codes from nonassociative division algebras
• A survey of finite semifields
• On the cohomology theory for associative algebras
• Autotopism Groups of Some Finite Non-Associative Algebras
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