Generalized Loewy-decomposition of d-modules

DOI10.1145/1073884.1073908zbMath1360.13061OpenAlexW2167752907MaRDI QIDQ5262758

Fritz Schwarz, Dima Yu. Grigoriev

Publication date: 16 July 2015

Published in: Proceedings of the 2005 international symposium on Symbolic and algebraic computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/1073884.1073908

zbMATH Keywords

\(D\)-moduleJanet basisLoewy decomposition

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Commutative rings of differential operators and their modules (13N10) Linear higher-order PDEs (35G05)

Related Items (8)

Loewy decomposition of linear differential equations ⋮ Loewy and primary decompositions of \(\mathcal D\)-modules ⋮ Solving and factoring boundary problems for linear ordinary differential equations in differential algebras ⋮ Refinement of two-factor factorizations of a linear partial differential operator of arbitrary order and dimension ⋮ Ideal intersections in rings of partial differential operators ⋮ On the Invariant Properties of Hyperbolic Bivariate Third-Order Linear Partial Differential Operators ⋮ Invariant Properties of Third-Order Non-hyperbolic Linear Partial Differential Operators ⋮ Multiple Factorizations of Bivariate Linear Partial Differential Operators

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