On partial actions of Hopf-Ore extensions
In this work we study how to extend a partial action of a Hopf Algebra $A$ on an algebra $R$ to a partial action of a Hopf-Ore extension of $A$ on $R$. As consequence, we characterize all partial actions of rank one Hopf algebras (in particular, generalized Taft algebras and Radford algebras), under...
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Zusammenfassung: | In this work we study how to extend a partial action of a Hopf Algebra $A$ on
an algebra $R$ to a partial action of a Hopf-Ore extension of $A$ on $R$. As
consequence, we characterize all partial actions of rank one Hopf algebras (in
particular, generalized Taft algebras and Radford algebras), under suitable
conditions. |
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DOI: | 10.48550/arxiv.2410.19625 |