Representations and O-operators of Hom-(pre)-Jacobi-Jordan algebras
Rings and Algebras
2021-06-01 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2105.14650,
title = {Representations and O-operators of Hom-(pre)-Jacobi-Jordan algebras},
author = {Sylvain Attan},
journal= {arXiv preprint arXiv:2105.14650},
year = {2021}
}