Finite dimensional ribbon Hopf(super) algebras play an important role in constructing invariants of 3-manifolds. In the present paper, the authors give a necessary and sufficient condition for the Drinfeld double of a finite dimensional Hopf superalgebra to have a ribbon element. The criterion can be seen as a generalization of Kauffman and Radford's result in the non-super situation to the ■_2-graded situation, however, the derivation of the result in the ■_2-graded case will be much more complicated.
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