Research Article
Year 2025,
Early Access, 1 - 29
Abstract
The purpose of this paper is introduce and give some constructions results and examples of transposed Hom-Poisson and Hom-pre-Lie Poisson algebras. Also, we establish the bimodules and matched pairs of transposed Hom-Poisson algebras. Their related relevant properties are also given. Finally, the notion of $\mathcal{O}$-operator is exploited to establish the relations between transposed Hom-Poisson and Hom-pre-Lie Poisson algebras.
References
- [1] E. Abdaoui, S. Mabrouk and A. Makhlouf, Rota-Baxter Operators on Pre-Lie Superalgebras, Bull. Malays. Math. Sci. Soc. 42, 1567-1606, 2019.
Year 2025,
Early Access, 1 - 29
Abstract
References
- [1] E. Abdaoui, S. Mabrouk and A. Makhlouf, Rota-Baxter Operators on Pre-Lie Superalgebras, Bull. Malays. Math. Sci. Soc. 42, 1567-1606, 2019.
There are 1 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Algebra and Number Theory, Group Theory and Generalisations, Lie Groups, Harmonic and Fourier Analysis |
| Journal Section | Mathematics |
| Authors | |
| Early Pub Date | October 6, 2025 |
| Publication Date | October 19, 2025 |
| Submission Date | January 10, 2024 |
| Acceptance Date | August 5, 2025 |
| Published in Issue | Year 2025 Early Access |