One-dimensional Lie algebra with non-trivial bracket operation

One-dimensional Lie algebra with non-trivial bracket operation

We can define a Lie algebra letting $\mathbb{R}$ be the vector space and
also the field. We can then have $[x,y]=xy-yx=0$ for all $x,y$.
Is there a one-dimensional Lie algebra such that $[x,y]$ is not
identically zero?