English

Bimodules and matched pairs of noncommutative BiHom-(pre)-Poisson algebras

Rings and Algebras 2021-02-24 v1 Representation Theory

Abstract

The purpose of this paper is to introduce the notion of noncommutative BiHom-pre-Poisson algebra. Also we establish the bimodules and matched pairs of noncommutative BiHom-(pre)-Poisson algebras and related relevant properties are also given. Finally, we exploit the notion of O\mathcal{O}-operator to illustrate the relations existing between noncommutative BiHom-Poisson and noncommutative BiHom pre-Poisson algebras.

Keywords

Cite

@article{arxiv.2102.11364,
  title  = {Bimodules and matched pairs of noncommutative BiHom-(pre)-Poisson algebras},
  author = {Ismail Laraiedh},
  journal= {arXiv preprint arXiv:2102.11364},
  year   = {2021}
}