13 research outputs found
Deformations of relative Rota-Baxter operators on Hom-Jacobi-Jordan algebras
Representations of Hom-Jacobi-Jordan algebras are studied. In particular,
adjoint representations and trivial representations are studied in detail.
Derivations and central extensions of Hom-Jacobi-Jordan algebras are also
discussed as an application. Morover, we introduce the cohomology theory on
Hom-Jacobi-Jordan algebras as well as the one of relative Rota-Baxter operators
on Hom-Jacobi-Jordan algebras. Finally, we use the cohomological approach to
study deformations of Hom-Jacobi-Jordan algebras and those of relative
Rota-Baxter operators