On some properties of $\mathsf{L}\mathsf{i}\mathsf{e}$-centroids of Leibniz algebras

We study some properties on $\mathsf{L}\mathsf{i}\mathsf{e}$-centroids related to central $\mathsf{L}\mathsf{i}\mathsf{e}$-derivations, generalized $\mathsf{L}\mathsf{i}\mathsf{e}$-derivations and almost inner $\mathsf{L}\mathsf{i}\mathsf{e}$-derivations. We also determine the $\mathsf{L}\mathsf{i}\mathsf{e}$-centroid of the tensor product of a commutative associative algebra and a Leibniz algebra.