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On Indecomposable Ideals Over Some Algebras

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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… Click to show full 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.

Keywords: ideals algebras; indecomposable ideals

Journal Title: Algebras and Representation Theory
Year Published: 2019

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