Tensor products of ideal codes over Hopf algebras

Abstract

We study indecomposable codes over the well-known family of Radford Hopf algebras. We use properties of Hopf algebras to show that tensors of ideal codes are ideal codes, extending the corresponding result given in a previous paper where we study codes as ideals over the family of Taft Hopf Algebras and showing that in this new case, semisimplicity is lost.