Equivalence classes of split extensions of a Hom-Jacobi-Jordan algebra J by V are in bijection with the second cohomology group H^2(J, V).
(2021).Hom-Jacobi-Jordan and Hom-antiassociative algebras with symmetric in- variant nondegenerate bilinear forms.Quasigroups and Related Systems.29(1): 61−81
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Non-abelian extensions of Hom-Jacobi-Jordan algebras
Equivalence classes of split extensions of a Hom-Jacobi-Jordan algebra J by V are in bijection with the second cohomology group H^2(J, V).