On 3-dimensional complex Hom-Lie algebras (vol 555, pg 361, 2020)

We wish to fix an error in [1]. The list of representatives of the isomorphism classes of skew-symmetric products mu : g x g -> gfor a complex 3-dimensional vector space g given there in Proposition 3.5 corresponding to the rank-2 degenerate products characterized by (2) in Proposition 3.3, were collapsed into a single representative, whereas a one-parameter family of representatives should have been obtained, as it is well known from the classification of 3-dimensional Lie algebras. The mistake affects the statements of Propositions 3.5 and 5.4. This note gives the correct statements of these two results. The rest is unaffected. (C) 2020 Elsevier Inc. All rights reserved.