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Affine geometry of modules over a ring with invariant basis number

✍ Scribed by A. A. Lashkhi; T. G. Kvirikashvili

Book ID
110149253
Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
628 KB
Volume
82
Category
Article
ISSN
0001-4346

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A GrΓΆbner Basis Method for Modules over
A GrΓΆbner Basis Method for Modules over Rings of Differential Operators
✍ Toshinori Oaku; Takeshi Shimoyama πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 683 KB

We study modules over the ring \(\mathcal{D}_{0}\) of differential operators with power series coeffcients. For \(\mathcal{D}_{0}\)-modules, we introduce a new notion of \(F\)-GrΓΆbner basis and present an algorithmic method to compute it. Our method is more algebraic than that of Castro \((1986,1987