Loewy and primary decompositions of D-modules

@article{Grigoriev2007LoewyAP,
  title={Loewy and primary decompositions of D-modules},
  author={Dima Grigoriev and F. Ch. Schwarz},
  journal={Adv. Appl. Math.},
  year={2007},
  volume={38},
  pages={526-541}
}
Two kinds of decompositions of a D-module are introduced in this article, a Loewy-decomposition and a primary decomposition. Algorithms are described which allow to construct decompositions for finite-dimensional D-modules. Both decompositions rely on the concept of the D-module of relative syzygies introduced in the paper. Furthermore an algorithm is described which tests whether two given D-modules are isomorphic under the relevant type of transformations. 

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