2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144058Rota-Baxter algebras were introduced to solve some analytic and combinatorial problems and have appeared in many fields in mathematics and mathematical physics. Rota-Baxter algebras provide a construction of pre-Lie algebras from associative algebras. In this paper, we give all Rota-Baxter operators of weight 1 on complex associative algebras in dimension $\leq 3$ and their corresponding pre-Lie algebras.23 pages, appear in Journal of Physics A; Mathematical and TheoreticalMathematical PhysicsQuantum Algebra17B, 81RFrom Rota-Baxter Algebras to Pre-Lie Algebrastext