Super-Biderivations and Linear Super-Commuting Maps on the Lie Superalgebras

preprint2020arXivOpen access

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 Bresˇ\check{s}ar and Zhao on Lie algebras.

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