In this paper we investigate a family of algebras endowed with a suitable non-degenerate bilinear form that can be used to define two different notions of dual for a given right ideal. We apply our results to the classification of the right ideals and their duals in the cyclic group algebra, in the Taft algebra and in another example of Hopf algebra arising as bosonization.

On Indecomposable Ideals Over Some Algebras

Ardizzoni, Alessandro;
2020-01-01

Abstract

In this paper we investigate a family of algebras endowed with a suitable non-degenerate bilinear form that can be used to define two different notions of dual for a given right ideal. We apply our results to the classification of the right ideals and their duals in the cyclic group algebra, in the Taft algebra and in another example of Hopf algebra arising as bosonization.
2020
23
1443
1466
https://arxiv.org/abs/1809.01939
Cyclic codes Monomial bilinear forms Indecomposable ideals Orthogonals Hopf algebras
Ardizzoni, Alessandro; Stumbo, Fabio
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1703635
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