Characteristic polynomials of finitely generated modules over Weyl algebras

DOI10.1017/S0004972700022425zbMath0968.16012MaRDI QIDQ4498176

Alexander B. Levin

Publication date: 18 June 2001

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Weyl algebrasfinitely generated modulesGröbner basescharacteristic polynomialsHilbert polynomialsBernstein dimension polynomials

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Commutative rings of differential operators and their modules (13N10) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items (2)

Relative reduction and Buchberger's algorithm in filtered free modules ⋮ Difference Algebra

Cites Work

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• The analytic continuation of generalized functions with respect to a parameter
• Modules over a ring of differential operators. Study of the fundamental solutions of equations with constant coefficients
• COMPUTATION OF DIMENSION POLYNOMIALS

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