BIVARIATE DIMENSION POLYNOMIALS AND NEW INVARIANTS OF FINITELY GENERATED D-MODULES

DOI10.1142/S0218196713500409zbMath1303.13027OpenAlexW2068418528MaRDI QIDQ5746936

Alexander B. Levin, Christian Dönch

Publication date: 11 February 2014

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196713500409

zbMATH Keywords

Gröbner basis\(D\)-moduledimension polynomial

Mathematics Subject Classification ID

Commutative rings of differential operators and their modules (13N10) Rings of differential operators (associative algebraic aspects) (16S32) Differential algebra (12H05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (1)

Relative reduction and Buchberger's algorithm in filtered free modules

Cites Work

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• A Jordan-Hölder theorem for differential algebraic groups
• 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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