Abstract: Firstly, we discussed the theory of universal central extensions, the results showed that the composition of two central extensions of δ-Hom-Jordan Lie algebras was no longer a central extension. Secondly, we defined universal α-central extensions by introducing the definition of α-central extensions. Finally, we constructed the universal central extension of δ-Hom-Jordan Lie algebras.

Key words: δ-Hom-Jordan Lie algebra, universal central extension, universal α-central extension