Embedding of Pre-Lie Algebras into Preassociative Algebras

• 作者: Vsevolod Gubarev
• 来源期刊: 代数集刊（英文版）
• 关键词: Rota-Baxter operator Gr(o)bner-Shirshov basis pre-Lie algebra preassociative algebra (dendriform algebra)
• 年，卷（期）: 2020,（2）
• 页码范围: 299-310
• 页数: 12页
• 语种: 英文
• DOI: 10.1142/S1005386720000243

摘要

With the help of Rota-Baxter operators and Gr(o)bner-Shirshov bases,we prove that every pre-Lie algebra can be injectively embedded into its universal enveloping preassociative algebra.