Super-Biderivations and Linear Super-Commuting Maps on the Lie Superalgebras
Abstract
Suppose the ground field is algebraically closed and of characteristic different from 2. In this paper, we described the intrinsic connections among linear super-commuting maps, super-biderivations and centroids for Lie superalgebras satisfying certain assumptions. This is a generalization of the results of Bresar and Zhao on Lie algebras.
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