This paper studies Rota-Baxter, Reynolds, Nijenhuis, and Averaging operators on 2-dimensional pre-Lie algebras over 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.
Cite
@article{arxiv.2504.20297,
title = {Rota-Type Operators on 2-Dimensional Pre-Lie Algebras},
author = {Imed Basdouri and Bouzid Mosbahi and Ahmed Zahari},
journal= {arXiv preprint arXiv:2504.20297},
year = {2025}
}