Embedding of pre-Lie algebras into preassociative algebras
Rings and Algebras
2022-01-25 v2
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.
Keywords
Cite
@article{arxiv.1808.09822,
title = {Embedding of pre-Lie algebras into preassociative algebras},
author = {Vsevolod Gubarev},
journal= {arXiv preprint arXiv:1808.09822},
year = {2022}
}
Comments
v2: 12 p., more detailed and accurate proof of main theorem. arXiv admin note: substantial text overlap with arXiv:1808.08839