A Hopf algebra having a separable Galois extension is finite dimensional
Abstract
It is shown that a Hopf algebra over a field admitting a Galois extension separable over its subalgebra of coinvariants is of finite dimension. This answers in the affirmative a question posed by Beattie et al. in [ Proc. Amer. Math. Soc. 128 No. 11 (2000), 3201-3203].
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