Central extensions of some solvable Leibniz superalgebras

This work is devoted to the study of central extensions some solvable Leibniz superalgebras. We show that a superalgebra with non-null center can be obtained by extension other ones lower dimensions. Moreover, we describe for maximal Lie superalgebras nilradical which neither characteristically nilpotent in non-split case nor do not involve as term split case. Additionally, apply two different procedures null-filiform and model filiform superalgebra. On first one, compute its then obtained. However, on second procedure, consider extensions. Finally, compare results at end procedures.