Multiplicity computation of modules overk[x1,…,xn] and an application to weyl algebras

DOI10.1080/00927870008827130zbMath0961.16028OpenAlexW2090910374MaRDI QIDQ4515501

Lu Chen, Huishi Li

Publication date: 6 March 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008827130

zbMATH Keywords

Weyl algebrascyclic modulesGröbner basesgraded algebrasgraded modulesHilbert polynomialsBernstein filtrations

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings and modules (associative rings and algebras) (16W50)

Cites Work

• Non-commutative Gröbner bases in algebras of solvable type
• An extension of Buchberger's algorithm and calculations in enveloping fields of Lie algebras
• Filtered-graded transfer of groebner basis computation in solvable polynomial algebras
• Unnamed Item

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