2022/09/16 by Padhan, Rudra Narayan, Khuntia, Tofan Kumar
#FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2209.07822
In this paper, we show the relation among the relative central extensions in an isoclinism family of a particular relative central extension of Hom-Lie algebras. We define the notion of isoclinism on the central relative extensions of a pair of Hom-Lie algebras. Then, we figure out the concept of isomorphism in the equivalence class of isoclinisms on the central relative extensions of a pair of Hom-Lie algebras.