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Communications in Algebra Volume 48, 2020 - Issue 12
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Articles

Super-biderivations and linear super-commuting maps on the Lie superalgebras

Liming TangSchool of Mathematical Sciences, Harbin Normal University, Harbin, China; View further author information
,
Lingyi MengSchool of Mathematical Sciences, Harbin Normal University, Harbin, China; View further author information
&
Liangyun ChenSchool of Mathematics and Statistics, Northeast Normal University, Changchun, ChinaCorrespondence[email protected]
View further author information
Pages 5076-5085 | Received 14 May 2020, Accepted 01 Jun 2020, Published online: 21 Jun 2020
 
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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.

2010 MATHEMATICS SUBJECT CLASSIFICATION:

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Funding

L. Tang was supported by the NSF of China (11971134), CSC, the NSF of HLJ Province (A2017005) and the NSF of HNU (XKB201403). L. Chen was supported by the NSF of China (11771069).

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