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In this paper, Lie super-bialgebra structures on the super-BMS3 algebra are considered. It is proved that all such Lie super-bialgebras are triangular coboundary Lie super-bialgebras. The method we use is mainly based on the computation of derivations from the super-BMS3 to the tensor product of its adjoint module.

In this paper we introduce and study a twisted tensor product construction of nonlocal vertex algebras. Among the main results, we establish a universal property and give a characterization of a twisted tensor product. Furthermore, we give a construction of modules for a twisted tensor product. We also show that smash products studied by one of us before can be realized as twisted tensor products.

In this paper, we will first determine all the super-skewsymmetric super-biderivations of the twisted [Formula: see text] superconformal algebra [Formula: see text], and prove that every super-skewsymmetric super-biderivation of the twisted [Formula: see text] superconformal algebra [Formula: see text] is inner. Then, we will show that all the linear super-commuting maps on the twisted [Formula: see text] superconformal algebra [Formula: see text] are standard.