Partial actions of a Hopf algebra on its base field and the corresponding partial smash product algebra
نویسندگان
چکیده
In this paper, we introduce the concept of a [Formula: see text]-Hopf algebra as Hopf obtained partial smash product and its base field, show that every is algebra. Moreover, method to compute actions given on field developed and, an application, exhibit all such type for some families algebras.
منابع مشابه
Gorenstein global dimensions for Hopf algebra actions
Let $H$ be a Hopf algebra and $A$ an $H$-bimodule algebra. In this paper, we investigate Gorenstein global dimensions for Hopf algebras and twisted smash product algebras $Astar H$. Results from the literature are generalized.
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2022
ISSN: ['1793-6829', '0219-4988']
DOI: https://doi.org/10.1142/s0219498823501402