In this paper we attempt to investigate the super-biderivations of Lie superalgebras. Furthermore, we prove that all super-biderivations on the centerless super-Virasoro algebras are inner super-biderivations. Finally, we study the linear super commuting maps on the centerless super-Virasoro algebras.

The structure theory of a class of generalized loop super-Virasoro algebras is studied in this paper. In particular, the derivation algebras, the automorphism groups and the second cohomology groups of generalized loop centerless supper-Virasoro algebras are determined completely.

Abstract. In this article we consider Lie super-bialgebra structures on the generalized loop super-Virasoro algebra G. By proving that the first cohomology group H 1

The loop super-Virasoro conformal superalgebra cls associated with the loop super-Virasoro algebra is constructed in the present paper. The conformal superderivation algebra of cls is completely determined, which is shown to consist of inner superderivations. And nontrivial free and free Z-graded cls-modules of rank two are classified. We also give a classification of irreducible free cls-modules of rank two and all irreducible submodules of each free Z-graded cls-module of rank two.In this section, we recall some notions related to Lie conformal superalgebras and conformal modules from [8,12,13].