GRÖBNER–SHIRSHOV BASES FOR L-ALGEBRAS

DOI10.1142/S0218196713500094zbMath1282.17004arXiv1005.0118MaRDI QIDQ4923201

Jiapeng Huang, Yuqun Chen, Leonid A. Bokut'

Publication date: 5 June 2013

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

Full work available at URL: https://arxiv.org/abs/1005.0118

zbMATH Keywords

Gröbner-Shirshov basisdialgebra\(\Omega\)-algebraComposition-Diamond LemmaL-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) Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50) Other nonassociative rings and algebras (17D99) Other (n)-ary compositions ((n ge 3)) (17A42)

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Cites Work

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• Selected works of A. I. Shirshov. Translated by Murray Bremner and Mikhail V. Kotchetov. Edited by Leonid A. Bokut, Victor Latyshev, Ivan Shestakov and Efim Zelmanov
• Gröbner-Shirshov bases for associative algebras with multiple operators and free Rota-Baxter algebras.
• Embeddings into simple associative algebras
• An algebraic framework of weighted directed graphs
• GRÖBNER–SHIRSHOV BASES AND EMBEDDINGS OF ALGEBRAS