Cyclic Maximal Ideals of Rings of Differential Operators over Power Series Rings

DOI10.1080/00927870902960372zbMath1195.16022OpenAlexW2085267407MaRDI QIDQ3578215

Luciene Nogueira Bertoncello, Daniel Levcovitz

Publication date: 14 July 2010

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

Full work available at URL: https://doi.org/10.1080/00927870902960372

zbMATH Keywords

maximal idealsrings of differential operators

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Derivations and commutative rings (13N15) Rings of differential operators (associative algebraic aspects) (16S32) Ideals in associative algebras (16D25)

Cites Work

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• d-Simple rings and simple -modules
• INDECOMPOSABLE NON-HOLONOMIC $\mathcal{D}$-MODULES IN DIMENSION $2$
• On the theorem of Cauchy-Kowalevsky for first order linear differential equations with degenerate principal symbols
• D-SIMPLE RINGS AND PRINCIPAL MAXIMAL IDEALS OF THE WEYL ALGEBRA

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