Free Lie differential Rota–Baxter algebras and Gröbner–Shirshov bases

DOI10.1142/S0218196717500485zbMath1379.16018arXiv1704.04493OpenAlexW2765214693WikidataQ115245897 ScholiaQ115245897MaRDI QIDQ4601323

Yuqun Chen, Jianjun Qiu

Publication date: 15 January 2018

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.04493

zbMATH Keywords

Gröbner-Shirshov basisLyndon-Shirshov wordLie differential Rota-Baxter algebra

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Rings of differential operators (associative algebraic aspects) (16S32) Free nonassociative algebras (17A50) Associative rings and algebras with additional structure (16W99)

Related Items (max. 100)

Universal enveloping of (modified) λ-differential Lie algebras ⋮ Unnamed Item ⋮ Free Ω-Rota–Baxter algebras and Gröbner–Shirshov bases

Uses Software

• operads

Cites Work

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