Geodesic
Jordan superderivations and Jordan triple superderivations of superalgebras
He Yuan 1   ; Liangyun Chen 2
1 Key Laboratory of Applied Statistics of MOE School of Mathematics and Statistics Northeast Normal University 130024 Changchun, China and Department of Mathematics Jilin Normal University 136000 Siping, China
2 Key Laboratory of Applied Statistics of MOE School of Mathematics and Statistics Northeast Normal University 130024 Changchun, China
Colloquium Mathematicum, Tome 144 (2016) no. 2, pp. 229-243 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $A=A_0\oplus A_1$ is a prime superalgebra with ${\rm deg}(A_1)\geq 9$, 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 $A$.
DOI : 10.4064/cm6650-9-2015
Keywords: study jordan theta theta superderivations jordan triple theta theta superderivations superalgebras using theory functional identities superalgebras consequence prove oplus prime superalgebra deg geq jordan superderivations jordan triple superderivations superderivations nbsp generalized jordan superderivations generalized jordan triple superderivations nbsp generalized superderivations

He Yuan  1   ; Liangyun Chen  2

1 Key Laboratory of Applied Statistics of MOE School of Mathematics and Statistics Northeast Normal University 130024 Changchun, China and Department of Mathematics Jilin Normal University 136000 Siping, China
2 Key Laboratory of Applied Statistics of MOE School of Mathematics and Statistics Northeast Normal University 130024 Changchun, China 
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     title = {Jordan superderivations and {Jordan} triple superderivations of superalgebras},
     journal = {Colloquium Mathematicum},
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He Yuan; Liangyun Chen. Jordan superderivations and Jordan triple superderivations of superalgebras. Colloquium Mathematicum, Tome 144 (2016) no. 2, pp. 229-243. doi: 10.4064/cm6650-9-2015

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