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Bibliographic Details
Main Authors:	Basdouri, Imed, Mosbahi, Bouzid, Zahari, Ahmed
Format:	Preprint
Published:	2025
Subjects:	Rings and Algebras
Online Access:	https://arxiv.org/abs/2504.20297
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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.