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The natural filtrations of infinite-dimensional Lie superalgebras of Formula: see text-type over a field of positive characteristic are proved to be invariant under automorphisms by studying ad-nilpotent elements. We observe that two Lie superalgebras of Formula: see text-type are isomorphic if and only if the integers in the definition of these Lie superalgebras are intrinsic. Thereby, all the Lie superalgebras of Formula: see text-type are classified in the sense of isomorphism.
Xu et al. (Tue,) studied this question.