Some new results on Gröbner–Shirshov bases for Lie algebras and around
DOI10.1142/S0218196718400027zbMath1404.16022OpenAlexW2884821948WikidataQ115245896 ScholiaQ115245896MaRDI QIDQ4611333
Yuqun Chen, Abdukadir Obul, Leonid A. Bokut'
Publication date: 18 January 2019
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218196718400027
Lie algebraextensionLeibniz algebraGröbner-Shirshov basis\(\Omega\)-algebraGelfand-Dorfman-Novikov algebra
Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Identities, free Lie (super)algebras (17B01) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Semigroup rings, multiplicative semigroups of rings (20M25)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Free integro-differential algebras and Gröbner-Shirshov bases.
- Generalized Lax pairs, the modified classical Yang-Baxter equation, and affine geometry of Lie groups
- Gröbner-Shirshov bases for Lie algebras: after A. I. Shirshov
- 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 bases for operads
- Gröbner-Shirshov bases for associative algebras with multiple operators and free Rota-Baxter algebras.
- The diamond lemma for ring theory
- Free left-symmetric algebras and an analogue of the Poincaré-Birkhoff- Witt theorem
- A noncommutative version of Lie algebras: Leibniz algebras
- Trees, free right-symmetric algebras, free Novikov algebras and identities
- Gröbner-Shirshov bases: from their inception to the present time.
- Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- Cohomology theory in abstract groups. II
- Gröbner–Shirshov bases method for Gelfand–Dorfman–Novikov algebras
- GRÖBNER–SHIRSHOV BASES AND EMBEDDINGS OF ALGEBRAS
- Codimension Growth and Non-Koszulity of Novikov Operad
- Gröbner–Shirshov Bases for Schreier Extensions of Groups
- Lifting standard bases in filtered structures
- Gröbner–Shirshov bases for Lie Ω-algebras and free Rota–Baxter Lie algebras
- Some New Results on Gröbner-Shirshov Bases
- Gröbner–Shirshov bases and their calculation
- Gröbner-Shirshov bases for free Gelfand-Dorfman-Novokov algebras and for right ideals of free right Leibniz algebras
- Cohomology of Group Extensions
