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Lie n superderivations and generalized Lie n superderivations of superalgebras

Lie n superderivations and generalized Lie n superderivations of superalgebras AbstractIn the paper, we study Lie n superderivations and generalized Lie n superderivations of superalgebras, using the theory of functional identities in superalgebras. We prove that if A = A0 ⊕ A1 is a prime superalgebra with deg(A1) ≥ 2n + 5, n ≥ 2, then any Lie n superderivation of A is the sum of a superderivation and a linear mapping, and any generalized Lie n superderivation of A is the sum of a generalized superderivation and a linear mapping. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Mathematics de Gruyter

Lie n superderivations and generalized Lie n superderivations of superalgebras

Open Mathematics , Volume 16 (1): 14 – Mar 13, 2018

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Publisher
de Gruyter
Copyright
© 2018 Yuan and Chen, published by De Gruyter
ISSN
2391-5455
eISSN
2391-5455
DOI
10.1515/math-2018-0018
Publisher site
See Article on Publisher Site

Abstract

AbstractIn the paper, we study Lie n superderivations and generalized Lie n superderivations of superalgebras, using the theory of functional identities in superalgebras. We prove that if A = A0 ⊕ A1 is a prime superalgebra with deg(A1) ≥ 2n + 5, n ≥ 2, then any Lie n superderivation of A is the sum of a superderivation and a linear mapping, and any generalized Lie n superderivation of A is the sum of a generalized superderivation and a linear mapping.

Journal

Open Mathematicsde Gruyter

Published: Mar 13, 2018

Keywords: Lie n superderivation; Generalized Lie n superderivation; Superalgebra; Functional identity; 17A70; 16W10; 16W55

References