Injective Hulls of Simple Modules over Differential Operator Rings

DOI10.1080/00927872.2014.941469zbMath1336.16023arXiv1211.2592OpenAlexW2964105761MaRDI QIDQ3448292

Can Hatipoğlu, Christian Lomp, Paula A. A. B. Carvalho

Publication date: 23 October 2015

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

Full work available at URL: https://arxiv.org/abs/1211.2592

zbMATH Keywords

simple modulesinjective modulesdifferential operator ringsOre extensionslocally Artinian modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Ordinary and skew polynomial rings and semigroup rings (16S36) Rings of differential operators (associative algebraic aspects) (16S32) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (7)

Commutative non-Noetherian rings with the diamond property ⋮ Simple modules and their essential extensions for skew polynomial rings ⋮ A NOTE ON SIMPLE MODULES OVER QUASI-LOCAL RINGS ⋮ On cyclic essential extensions of simple modules over differential operator rings ⋮ When Essential Extensions of Finitely Generated Modules are Finitely Generated ⋮ Injective hulls of simple modules over nilpotent Lie color algebras ⋮ Locally finite representations over Noetherian Hopf algebras

Cites Work

• Non-holonomic modules over Weyl algebras and enveloping algebras
• Injective modules over Noetherian rings
• The inversion formula for automorphisms of the Weyl algebras and polynomial algebras
• Primitivity in differential operator rings
• Jacobson's conjecture and modules over fully bounded Noetherian rings
• Injective hulls of simple modules over finite dimensional nilpotent complex Lie superalgebras
• On the Krull-dimension of left noetherian left Matlis-rings
• Krull dimension and global dimension of simple Ore-extensions
• Finitely generated, non-artinian monolithic modules
• MONOLITHIC MODULES OVER NOETHERIAN RINGS
• INJECTIVE MODULES OVER DOWN-UP ALGEBRAS
• Some examples of modules over Noetherian rings
• Invariants du corps de weyl sous l'action de groupes finis

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