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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 55 Issue: 2

Transposed Hom-Poisson and Hom-pre-Lie Poisson algebras

Ismail Laraiedh(Sfax University)0000-0003-2966-9974
Sergei Silvestrov(Malardalen University)0000-0003-4554-6528
Pages
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Publication Date
2026-04-29
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, the notion of $\mathcal{O}$-operator is exploited to establish the relations between transposed Hom-Poisson and Hom-pre-Lie Poisson algebras.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The purpose of this paper is to introduce and give some constructions results and examples of transposed Hom-Poisson and Hom-pre-Lie Poisson algebras.
📊
Key Findings & Data:Also, we establish the bimodules and matched pairs of transposed Hom-Poisson algebras.
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Conclusion & Impact:Finally, the notion of $\mathcal{O}$-operator is exploited to establish the relations between transposed Hom-Poisson and Hom-pre-Lie Poisson algebras.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:transposed Hom-Poisson algebra · Hom-pre-LiePoisson algebra · bimodule

Abstract

The purpose of this paper is to 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.

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Cite This Article

Laraiedh, I., Silvestrov, S. (2026). Transposed Hom-Poisson and Hom-pre-Lie Poisson algebras. Hacettepe Journal of Mathematics and Statistics, Volume: 55 Issue: 2. https://doi.org/10.15672/hujms.1417353

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