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arXiv · 2504.20297

Rota-Type Operators on 2-Dimensional Pre-Lie Algebras

Imed Basdouri·Bouzid Mosbahi·Ahmed Zahari
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Abstract

This paper studies Rota-Baxter, Reynolds, Nijenhuis, and Averaging operators on 2-dimensional pre-Lie algebras over $\mathbb{C}$. Using the classification of 2-dimensional pre-Lie algebras and computational tools like Mathematica or Maple, we describe these Rota-type operators in detail. Our results provide a deeper understanding of these operators and their roles in algebraic structures.

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Imed Basdouri, Bouzid Mosbahi, Ahmed Zahari. 2025-04-28. Rota-Type Operators on 2-Dimensional Pre-Lie Algebras. https://arxiv.org/abs/2504.20297

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