Abstract
In this paper, we define the current Lie superalgebra
where L is a Lie superalgebra and A is an associative commutative algebra with unity. we proved every skew-symmetric super-biderivation on
is of the form of the centroid, if the same holds true for L. We also proved every linear super-commuting map on
belong to Cent(
), if the same holds true for L.