Embedding of Pre-Lie Algebras into Preassociative Algebras
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Publication:5110715
DOI10.1142/S1005386720000243zbMATH Open1472.17005arXiv1808.09822WikidataQ115244679 ScholiaQ115244679MaRDI QIDQ5110715
Publication date: 21 May 2020
Published in: Algebra Colloquium (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1808.09822
Gröbner-Shirshov basispre-Lie algebraRota-Baxter operatorpreassociative algebra (dendriform algebra)
Nonassociative algebras satisfying other identities (17A30) Associative rings and algebras with additional structure (16W99) Yang-Baxter equations and Rota-Baxter operators (17B38) Gröbner-Shirshov bases in nonassociative algebras (17A61)
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