Lie n superderivations and generalized Lie n superderivations of superalgebras

被引：2
|
作者：
Yuan, He [1 ,2 ]
Chen, Liangyun [2 ]
机构：
[1] Jilin Normal Univ, Dept Math, Siping 136000, Peoples R China
[2] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
来源：
OPEN MATHEMATICS | 2018年 / 16卷
关键词：
Lie n superderivation; Generalized Lie n superderivation; Superalgebra; Functional identity; D-FREE SUBSETS; FUNCTIONAL IDENTITIES; MAP CONJECTURES; PRIME-RINGS; DERIVATIONS; SUPERHOMOMORPHISMS; MAPPINGS;
D O I：
10.1515/math-2018-0018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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) circle plus 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.
引用
收藏
页码：196 / 209
页数：14
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