In German, what does "Skalarraum" mean?

Question

Is it just that $\mathbb K$ is the Skalarraum of $\mathbb K^{m \times n}$, or does it have other applications also?

From a Google search it would seem so, but I'd like to make sure, as none of the pages gives a definition/explanation.

And what would be a more commonly used synonym?

Answer 1

It’s the scalar field of whatever vector space is under discussion.

Answer 2

Perhaps "field of scalars", in the context of vector spaces.