@MISC{Totok_actionsof, author = {Alexander A. Totok}, title = {Actions of Hopf algebras on noncommutative algebras ∗}, year = {} }

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Abstract

Throughout this paper H is a finite-dimensional Hopf algebra over a field k, andA is a associative k-algebra. Unless it is stated additionally, all tensor products are over k. Definition 1.1 It is said that H acts on A, if A is left H-module and for any h ∈ H, a, b ∈ A