Embedding of pre-Lie algebras into preassociative algebras
arXiv:1808.09822 · doi:10.1142/S1005386720000243
Abstract
With the help of Rota-Baxter operators and the Groebner-Shirshov bases, we prove that any pre-Lie algebra injectively embeds into its universal enveloping preassociative algebra.
v2: 12 p., more detailed and accurate proof of main theorem. arXiv admin note: substantial text overlap with arXiv:1808.08839