  Representations and O-operators of Hom-(pre)-Jacobi-Jordan algebras are
introduced and studied. The anticommutator of a Hom-pre-Jacobi-Jordan algebra
is a Hom-Jacobi-Jordan algebra and the left multiplication operator gives a
representation of a Hom-Jacobi-Jordan algebra. The notion of matched pairs and
Nijenhuis operators of Hom-(pre)-Jacobi-Jordan algebras are given and various
relevant constructions are obtained.

Rings and Algebras