On some properties of Lie-centroids of Leibniz algebras (Q2091174)

In the paper of \textit{G. R. Biyogmam} et al. [Publ. Math. Debr. 97, No. 1--2, 217--239 (2020; Zbl 1474.17002)] the concept of centroid of a Leibniz algebra with respect to the Liezation functor, named Lie-centroid, was introduced and the interplay between Lie-central derivations, Lie-centroids and so-called Lie-stem Leibniz algebras were studied. In the present paper the authors continue the analysis of properties of the Lie-centroids and study its interaction with Lie-central derivations, generalized Lie-derivations, quasi-Lie-centroids and almost inner Lie-derivations. They also determine the Lie-centroid of the tensor product of a commutative associative algebra and a Leibniz algebra.