Radford's S^4 formula for co-Frobenius Hopf algebras

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This note extends Radford's formula for the fourth power of the antipode of a finite dimensional Hopf algebra to co-Frobenius Hopf algebras and studies equivalent conditions to a Hopf algebra being involutory for finite dimensional and co-Frobenius Hopf algebras.
To appear in Journal of Algebra

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