Moduli of commutative and non-commutative finite covers

We classify affine, not necessarily commutative, n-covers B of commutative K-algebras A using data triples (A, M, α) consisting of the algebra A, a free A-module M of rank n - 1, and an associative, unitary trace-zero structure constant tensor α. We construct a versal deformation space for the deformations of a K-algebra B ₀ as a section of the completion at the tensor α ₀ of B ₀ of the structure-constant scheme C _n . In order to obtain concrete information about the algebraic structure of C _n obtained as above.