Gröbner-Shirshov bases: from their inception to the present time.

DOI10.1023/A:1023490323855zbMath1069.16026OpenAlexW184208338MaRDI QIDQ1780416

Pavel Sergeevich Kolesnikov, Leonid A. Bokut'

Publication date: 8 June 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023490323855

zbMATH Keywords

Weyl algebrasskew polynomial ringsquantum algebrasGelfand-Kirillov dimensionnoncommutative Gröbner basesGröbner-Shirshov basesLie polynomialsquadric solvable polynomial algebras

Mathematics Subject Classification ID

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) Vertex operators; vertex operator algebras and related structures (17B69) Nonassociative algebras satisfying other identities (17A30)

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