Structurable algebras of skew-rank one
Let R be a ring such that 2,3 are invertible in R. We construct
classes of structurable algebras over R whose residue class algebras
have skew-dimension 1, which 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.
S. Pumpluen < susanne.pumpluen@nottingham.ac.uk >