Jordan superderivations and Jordan triple superderivations of superalgebras
Volume 144 / 2016
Colloquium Mathematicum 144 (2016), 229-243
MSC: Primary 17A70; Secondary 16W55.
DOI: 10.4064/cm6650-9-2015
Published online: 21 March 2016
Abstract
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 $A$.
