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Super-Biderivations and Linear Super-Commuting Maps on the Lie Superalgebras (2008.01718v1)

Published 15 Jun 2020 in math.RA

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

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