Weak Bézout inequality for D-modules

DOI10.1016/j.jco.2004.09.006zbMath1080.32010arXivcs/0311053OpenAlexW1972199770MaRDI QIDQ2387420

Dima Yu. Grigoriev

Publication date: 2 September 2005

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cs/0311053

zbMATH Keywords

D-moduleBezout inequalityHilbert-Kolchin polynomial

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Commutative rings of differential operators and their modules (13N10) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items (8)

Loewy and primary decompositions of \(\mathcal D\)-modules ⋮ Generalized typical dimension of a graded module ⋮ An upper bound for minimizing coefficients of the Kolchin dimension polynomial ⋮ A bound for a typical differential dimension of systems of linear differential equations ⋮ A Jordan-Hölder theorem for differential algebraic groups ⋮ Complexity of a standard basis of a $D$-module ⋮ Degree bounds for Gröbner bases in algebras of solvable type ⋮ Estimates for the coefficients of differential dimension polynomials

Cites Work

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• Idéaux de germes d'opérateurs différentiels à une variable
• Typical differential dimension of the intersection of linear differential algebraic groups
• The complexity of the word problems for commutative semigroups and polynomial ideals
• Gröbner deformations of hypergeometric differential equations
• Constructions in Algebra

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