Lie n superderivations and generalized Lie n superderivations of superalgebras-Reference-Cited by-同舟云学术

Lie n superderivations and generalized Lie n superderivations of superalgebras

Published:2018-01-01 Issue:1 Volume:16 Page:196-209
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Yuan He¹²,Chen Liangyun²

Affiliation:

1. Department of Mathematics , Jilin Normal University , Siping , 136000 , China

2. School of Mathematics and Statistics , Northeast Normal University , Changchun , 130024 , China

Abstract

Abstract In 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 = A 0 ⊕ A 1 is a prime superalgebra with deg(A 1) ≥ 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2018-0018/pdf

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