The Superbiconductors Of Witt-type Lie Superalgebras

In this paper,we study the super-biderivations of Witt-type Lie superalgebras and biderivations of 3-dimensional Heisenberg algebra.As an application,we also describe the linear super-commuting maps on the Witt-type Lie superalgebras.The project firstly introduced the background of the researc,what status people at home and abroad have studied of the research currently,development trend,and the purpose and significance of the topic.And we give some preliminary knowledge about the basic concepts of this paper,such as biderivations,superbiderivations,inner biderivations,skew-symmetric,etc.Furthermore,we study the super-biderivation of the Witt-type Lie superalgebra (2(9))and prove that the superbiderivation of (2(9))is inner.Moreover,according to the super-biderivations,we describe the form of linear super-commuting maps of (2(9)).Finally,we study the biderivations of the 3-dimensiohnal Heisenberg algebra and give their characterization.