Filtered-graded transfer of groebner basis computation in solvable polynomial algebras

DOI10.1080/00927870008826825zbMath0956.13009OpenAlexW2063549403MaRDI QIDQ4942338

Yihong Wu, Huishi Li

Publication date: 18 December 2000

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

Full work available at URL: https://doi.org/10.1080/00927870008826825

zbMATH Keywords

Gröbner basisRees algebraaffine algebraassociated graded algebrasolvable polynomial algebra

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (7)

Generalized down-up algebras revisited from a viewpoint of Gröbner basis theory ⋮ Regularity and \(K_0\)-group of quadric solvable polynomial algebras. ⋮ An elimination lemma for algebras with PBW bases ⋮ Degree bounds for Gröbner bases in algebras of solvable type ⋮ Elimination of variables in linear solvable polynomial algebras and \(\delta\)-holonomicity ⋮ Hilbert polynomal of modules over homogeneous solvable polynomial algebras ⋮ Multiplicity computation of modules overk[x₁,…,x_n and an application to weyl algebras]

Cites Work

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• Non-commutative Gröbner bases in algebras of solvable type
• On the theory of graded structures
• New constructive methods in classical ideal theory
• Graded algebras of global dimension 3
• An extension of Buchberger's algorithm and calculations in enveloping fields of Lie algebras
• An introduction to commutative and noncommutative Gröbner bases
• Some properties of non-commutative regular graded rings

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