## Smash product, Morita context rings and extended centroids, Northeast

- S. Yang
- Math. J.,
- 1994

@inproceedings{YangNormalSP, title={Normal Smash Products}, author={Sung-Dae Yang and Defeng Wang} }

Let H be a co-Frobenius Hopf algebra over a field k and A a right H-comodule algebra. It is shown that A is H-faithful and AN #N ∗ ∈ Φ iff A#H ∈ Φ, where N is a subgroup of G(H) = {g ∈ H | ∆(g) = g ⊗ g} and AN is N -coinvariants, Φ denotes a normal class. It is also shown that if A/A1 is right H-Galois and A1 is central simple, then so is A#H. In particular… CONTINUE READING

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