Lifting Gröbner Bases from a Class of Algebras

DOI10.1080/00927870903399612zbMath1209.16036OpenAlexW2082427037MaRDI QIDQ3579902

Huishi Li

Publication date: 11 August 2010

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

Full work available at URL: https://doi.org/10.1080/00927870903399612

zbMATH Keywords

Gröbner basesClifford algebrasfiltrationsfree algebrasmonomial orderingsquantized coordinate ringsgradingsuniversal enveloping algebras of Lie algebras

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Universal enveloping (super)algebras (17B35) Clifford algebras, spinors (15A66) Computational aspects of associative rings (general theory) (16Z05) Universal enveloping algebras of Lie algebras (16S30) Filtered associative rings; filtrational and graded techniques (16W70)

Uses Software

• Plural

Cites Work

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• Non-commutative Gröbner bases in algebras of solvable type
• An introduction to commutative and noncommutative Gröbner bases
• How to shell a monoid
• Projective resolutions of straightening closed algebras generated by minors
• Higher-order syzygies for the bracket algebra and for the ring of coordinates of the Grassmanian.
• Non-commutative Gröbner bases for commutative algebras

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