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We introduce the concept of a λ-Hopf algebra as a Hopf algebra obtained as the partial smash product algebra of a Hopf algebra and its base field, and show that… Click to show full abstract
We introduce the concept of a λ-Hopf algebra as a Hopf algebra obtained as the partial smash product algebra of a Hopf algebra and its base field, and show that every Hopf algebra is a λ-Hopf algebra. Moreover, a method to compute partial actions of a given Hopf algebra on its base field is developed and, as an application, we exhibit all partial actions of such type for some families of Hopf algebras.
Keywords:
algebra base;
algebra;
hopf algebra;
partial actions;
base field
Journal Title: Journal of Algebra and Its Applications
Year Published: 2022
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Journal Title: Journal of Algebra and Its Applications
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!