Torsion modules over the ring of differential polynomials

DOI10.1080/00927879008824045zbMath0713.16015OpenAlexW2043249524MaRDI QIDQ3197963

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Publication date: 1990

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879008824045

zbMATH Keywords

differential equationssimple moduleslattice of submodulesdifferential polynomial ringstorsion modulesfield of meromorphic functionsrings of differential polynomialstorsion indecomposable injective, cyclic modulestorsion indecomposable modulesuniversal field

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Sheaves of differential operators and their modules, (D)-modules (32C38) Rings of differential operators (associative algebraic aspects) (16S32) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Cites Work

• Simple modules over hereditary Noetherian prime rings
• Idealizers and hereditary Noetherian prime rings
• Homomorphisms and extensions of modules over certain differential polynomial rings
• Homological properties of the ring of differential polynomials
• Galois Theory of Differential Fields

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