JORDAN SUPERDERIVATIONS AND JORDAN TRIPLE SUPERDERIVATIONS OF SUPERALGEBRAS

被引：0
|
作者：
Yuan, He [1 ,2 ]
Chen, Liangyun [1 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Key Lab Appl Stat MOE, Changchun 130024, Peoples R China
[2] Jilin Normal Univ, Dept Math, Siping 136000, Peoples R China
来源：
COLLOQUIUM MATHEMATICUM | 2016年 / 144卷 / 02期
关键词：
functional identity; superalgebra; Jordan superderivation; LIE MAP CONJECTURES; D-FREE SUBSETS; FUNCTIONAL IDENTITIES; GENERALIZED DERIVATIONS; RINGS; SUPERHOMOMORPHISMS; MAPPINGS;
D O I：
10.4064/cm6650-9-2015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study Jordan (theta,theta)-superderivations and Jordan triple (theta,theta)-superderivations of superalgebras, using the theory of functional identities in superalgebras. As a consequence, we prove that if A = A(0) circle plus A(1) is a prime superalgebra with deg(A(1)) >= 9, then Jordan superderivations and Jordan triple superderivations of A are superderivations of A, and generalized Jordan superderivations and generalized Jordan triple superderivations of A are generalized superderivations of A.
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页码：229 / 243
页数：15
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