Tensor products of nonassociative cyclic algebras

We study the tensor product of two (not necessarily associative) cyclic algebras. The condition for the tensor product of an associative cyclic algebra and a nonassociative cyclic algebra to be division generalizes the classical one for the tensor product of two associative cyclic algebras by Albert or Jacobson, if the base field contains a suitable root of unity. Stronger conditions are obtained in special cases.

(New version 20 Jan 2015)

tensoringnonasscyclicalgs.pdf (202K)

S. Pumpluen < susanne.pumpluen@nottingham.ac.uk >