Abstract
Over a field of characteristic , we first provide the definitions of the supersymmetric super-biderivation and the skew-supersymmetric super-biderivation from a Lie superalgebra
to a
-module M. Then we prove that a super-biderivation from
to M is a sum of a supersymmetric super-biderivation from
to M and a skew-supersymmetric super-biderivation from
to M. Finally, we also determine the super-biderivations from
to all simple modules of
.