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arXiv · 2410.19625

On partial actions of Hopf-Ore extensions

João M. J. Giraldi·Grasiela Martini·Leonardo D. Silva
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Abstract

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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BibTeXRIS

João M. J. Giraldi, Grasiela Martini, Leonardo D. Silva. 2024-10-25. On partial actions of Hopf-Ore extensions. https://arxiv.org/abs/2410.19625

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