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Classes of structurable algebras of skew-rank

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Abstract

Let R be a ring such that 2, 3 ∈ R ×. We construct classes of structurable algebras over R whose residue class algebras have skew-dimension 1. These are matrix algebras or forms of matrix algebras which do not necessarily arise out of separable Jordan algebras of degree 3. As an application, we give canonical examples of structurable algebras of large dimension.

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Pumplün, S. Classes of structurable algebras of skew-rank. Isr. J. Math. 180, 425–460 (2010). https://doi.org/10.1007/s11856-010-0110-1

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  • DOI: https://doi.org/10.1007/s11856-010-0110-1

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