Generalized anti-commutative Gröbner-Shirshov basis theory and free Sabinin algebras
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Publication:5124587
DOI10.1080/00927872.2020.1779277zbMath1477.17047OpenAlexW3037866965MaRDI QIDQ5124587
Qiuhui Mo, Yu Li, Leonid A. Bokut'
Publication date: 30 September 2020
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2020.1779277
Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Nonassociative algebras satisfying other identities (17A30) Gröbner-Shirshov bases (16Z10) Gröbner-Shirshov bases in nonassociative algebras (17A61)
Cites Work
- Lyndon-Shirshov basis and anti-commutative algebras
- Gröbner-Shirshov bases for Rota-Baxter algebras.
- Algebras, hyperalgebras, nonassociative bialgebras and loops
- Anti-commutative Gröbner-Shirshov basis of a free Lie algebra.
- Shirshov composition techniques in Lie superalgebras (noncommutative Gröbner bases)
- The diamond lemma for ring theory
- Gröbner-Shirshov bases for irreducible \(sl_{n+1}\)-modules
- Free Akivis algebras, primitive elements, and hyperalgebras
- Gröbner-Shirshov bases for metabelian Lie algebras
- Resolution of singularities of an algebraic variety over a field of characteristic zero. II
- Gröbner-Shirshov bases for semirings.
- Gröbner-Shirshov bases for Vinberg-Koszul-Gerstenhaber right-symmetric algebras
- Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
- On Free Sabinin Algebras
- Composition-diamond lemma for modules
- GRÖBNER–SHIRSHOV BASES FOR FREE INVERSE SEMIGROUPS
- Gröbner–Shirshov bases for pre-associative algebras
- Gröbner–Shirshov bases for brace algebras
- Some Algorithmic Problems for Lie Algebras
- Gröbner–Shirshov bases and their calculation
- Embedding into 2-generated simple associative (Lie) algebras
- PBW-Pairs of Varieties of Linear Algebras
- A Basis for Free Lie Rings and Higher Commutators in Free Groups
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