Gröbner-Shirshov bases for free Gelfand-Dorfman-Novokov algebras and for right ideals of free right Leibniz algebras

DOI10.1080/00927872.2018.1444168zbMath1397.13032OpenAlexW2794420463MaRDI QIDQ5376005

Rabigul Tuniyaz, Marhaba Xiryazidin, Abdukadir Obul, Leonid A. Bokut'

Publication date: 17 September 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2018.1444168

zbMATH Keywords

Leibniz algebraGröbner-Shirshov basiscomposition-diamond lemmaGelfand-Dorfman-Novikov algebra

Mathematics Subject Classification ID

Leibniz algebras (17A32) Lie-admissible algebras (17D25) Gröbner-Shirshov bases in nonassociative algebras (17A61)

Related Items (2)

Some new results on Gröbner–Shirshov bases for Lie algebras and around ⋮ Free Ω-Rota–Baxter algebras and Gröbner–Shirshov bases

Uses Software

• operads

Cites Work

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• Gröbner-Shirshov bases for Rota-Baxter algebras.
• Gröbner-Shirshov bases for Lie algebras over a commutative algebra
• Composition-diamond lemma for tensor product of free algebras.
• Gröbner bases for operads
• Gröbner-Shirshov bases for associative algebras with multiple operators and free Rota-Baxter algebras.
• Infinite dimensional Lie superalgebras
• Free left-symmetric algebras and an analogue of the Poincaré-Birkhoff- Witt theorem
• A noncommutative version of Lie algebras: Leibniz algebras
• Composition-diamond lemma for associative conformal algebras.
• Gröbner-Shirshov bases for irreducible \(sl_{n+1}\)-modules
• Trees, free right-symmetric algebras, free Novikov algebras and identities
• On free Gelfand-Dorfman-Novikov-Poisson algebras and a PBW theorem
• Gröbner-Shirshov bases for metabelian Lie algebras
• Gröbner-Shirshov bases: from their inception to the present time.
• Nonassociative algebras related to Hamiltonian operators in the formal calculus of variations
• Gröbner-Shirshov bases for semirings.
• Gröbner-Shirshov bases, conformal algebras, and pseudo-algebras.
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Gröbner–Shirshov bases method for Gelfand–Dorfman–Novikov algebras
• The symmetric operation in a free pre-Lie algebra is magmatic
• Composition-diamond lemma for modules
• GRÖBNER–SHIRSHOV BASES FOR DIALGEBRAS
• GRÖBNER-SHIRSHOV BASES: SOME NEW RESULTS
• Standard Gröbner-Shirshov Bases of Free Algebras Over Rings, I
• Lifting standard bases in filtered structures
• Gröbner–Shirshov bases for pre-associative algebras
• Groebner-Shirshov basis of the universal enveloping Rota-Baxter algebra of a Lie algebra
• Some New Results on Gröbner-Shirshov Bases
• GRÖBNER–SHIRSHOV BASES FOR L-ALGEBRAS
• Gröbner–Shirshov bases and their calculation
• Algebraic Operads

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