Tensor products of ideal codes over Hopf algebras

We study indecomposable codes over a family of Hopf algebras introduced by Radford. We use properties of Hopf algebras to show that tensors of ideal codes are ideal codes, extending the corresponding result that was previously given in the case of Taft Hopf algebras and showing the differences with...

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Bibliographic Details
Published in:Science China. Mathematics 2013-04, Vol.56 (4), p.737-744
Main Author: GARCIA-RUBIRA J. M. LOPEZ-RAMOS J. A
Format: Article
Language:English
Subjects:
Algebra
Applications of Mathematics
China
Hopf代数
Mathematical analysis
Mathematics
Mathematics and Statistics
Tensors
不可分
代码
张量积
理想
霍普夫代数
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Description
Summary:We study indecomposable codes over a family of Hopf algebras introduced by Radford. We use properties of Hopf algebras to show that tensors of ideal codes are ideal codes, extending the corresponding result that was previously given in the case of Taft Hopf algebras and showing the differences with that case.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-013-4579-z