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...
| Main Authors: | , , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
| Published: |
2011
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| Online Access: | http://hdl.handle.net/10835/357 |
| _version_ | 1789406430243061760 |
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| author | Cuadra, Juan García Rubira, José María López Ramos, Juan Antonio |
| author_facet | Cuadra, Juan García Rubira, José María López Ramos, Juan Antonio |
| author_sort | Cuadra, Juan |
| collection | DSpace |
| description | 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. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-357 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-3572023-04-12T19:37:20Z Tensor products of ideal codes over Hopf algebras Cuadra, Juan García Rubira, José María López Ramos, Juan Antonio 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. 2011-11-08T10:58:40Z 2011-11-08T10:58:40Z 2011-11-08 info:eu-repo/semantics/article http://hdl.handle.net/10835/357 en info:eu-repo/semantics/openAccess |
| spellingShingle | Cuadra, Juan García Rubira, José María López Ramos, Juan Antonio Tensor products of ideal codes over Hopf algebras |
| title | Tensor products of ideal codes over Hopf algebras |
| title_full | Tensor products of ideal codes over Hopf algebras |
| title_fullStr | Tensor products of ideal codes over Hopf algebras |
| title_full_unstemmed | Tensor products of ideal codes over Hopf algebras |
| title_short | Tensor products of ideal codes over Hopf algebras |
| title_sort | tensor products of ideal codes over hopf algebras |
| url | http://hdl.handle.net/10835/357 |
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