Tensor products of ideal codes over Hopf algebras

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...

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Bibliographic Details
Main Authors: Cuadra, Juan, García Rubira, José María, López Ramos, Juan Antonio
Format: info:eu-repo/semantics/article
Language:English
Published: 2011
Online Access:http://hdl.handle.net/10835/357
Description
Summary: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.