Monolithic modules over Noetherian Rings
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algebrasdown-upmodulesnoetherianachievedalgebraarxivconditions
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We study finiteness conditions on essential extensions of simple modules over the quantum plane, the quantized Weyl algebra and Noetherian down-up algebras. The results achieved improve the ones obtained in [arXiv:0906.2930] for down-up algebras.
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