Skew-Symmetric Super-Biderivations Of The Modular Lie Superalgebra S(m,n;t) Of Cartan-Type

In this paper,we study the skew-symmetric super-biderivations of the mod-ular Lie superalgebra S（m,n;t）of Cartan-type.Firstly,utilizing the abelian subalgebra T_Sof S（m,n;t）and the weight space decomposition of S（m,n;t）with respect to T_S,we show that the action of each skew-symmetric super-biderivationφof S（m,n;t）on any elements in T_Sand partial elements in S（m,n;t）is equiv-alent to the action of an inner super-biderivation on them,i.e.φon two specifc types of elements in S（m,n;t）is an inner super-biderivation.Then,we extend this conclusion toφon any two elements in S（m,n;t）is an inner super-biderivation by using the center of S_-1with respect to S（m,n;t）.Finally,by the arbitrariness ofφ,we prove that all skew-symmetric super-biderivations of S（m,n;t）are inner.