Communications of the
Korean Mathematical Society CKMS

H. R. Ebrahimi Vishki et al. conjectured in \cite{EMM}, that if every Jordan higher derivation on a trivial generalized matrix algebra $\mathcal{G}=(A,M,N,B)$ is a higher derivation, then either $M=0$ or $N=0$. In this note, we will give a class of counter examples.

Keywords: Jordan derivation, Jordan higher derivation, trivial generalized matrix algebra

MSC numbers: 16W25, 15A78