Injective Hulls of Simple Modules over Differential Operator Rings |
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| Authors: | Paula A. A. B. Carvalho Can Hatipoğlu |
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| Affiliation: | CMUP, Department of Mathematics , Faculty of Science of the University of Porto , Porto , Portugal |
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| Abstract: | We study injective hulls of simple modules over differential operator rings R[θ; d], providing necessary conditions under which these modules are locally Artinian. As a consequence, we characterize Ore extensions of S = K[x][θ; σ, d] for σ a K-linear automorphism and d a K-linear σ-derivation of K[x] such that injective hulls of simple S-modules are locally Artinian. |
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| Keywords: | Differential operator rings Injective modules Noetherian rings Simple modules |
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