Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664627 | Acta Mathematica Scientia | 2011 | 9 Pages |
Abstract
Let H be a finite-dimensional weak Hopf algebra and A a left H-module algebra with its invariant subalgebra AH. We prove that the smash product A # H is an A-ring with a grouplike character, and give a criterion for A # H to be Frobenius over A. Using the theory of A-rings, we mainly construct a Morita context 〈AH, A#H, A, A, τ, μ〉 connecting the smash product A # H and the invariant subalgebra AH, which generalizes the corresponding results obtained by Cohen, Fischman and Montgomery.
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