Throughout this paper we show that the method for describing finite-dimensional solvable Leibniz superalgebras with a given nilradical can be extended to infinite-dimensional ones, or so-called residually solvable Leibniz superalgebras. Prior to that, we improve the solvable extension method for the finite-dimensional case obtaining new and important results. Additionally, we fully determine the residually solvable Lie and Leibniz superalgebras with maximal codimension of pro-nilpotent ideals the model filiform Lie and null-filiform Leibniz superalgebras, respectively. Moreover, we prove that the residually solvable superalgebras obtained are complete.

在整篇论文中，我们展示了描述具有给定 nilradical 的有限维可解莱布尼茨超代数的方法可以扩展到无限维，或所谓的剩余可解莱布尼茨超代数。在此之前，我们改进了有限维情况的可解扩展方法，获得了新的重要结果。此外，我们分别完全确定了具有亲幂零理想的最大余维的剩余可解 Lie 和 Leibniz 超代数，分别是模型丝状 Lie 和零丝状 Leibniz 超代数。此外，我们证明了获得的剩余可解超代数是完备的。