Finitely generated, non-artinian monolithic modules
classification
🧮 math.RA
keywords
algebraspropertyartiniancharacteristicclassificationcompleteconstructiondown-up
read the original abstract
We survey noetherian rings $A$ over which the injective hull of every simple module is locally artinian. Then we give a general construction for algebras $A$ that do not have this property. In characteristic 0, we also complete the classification of down-up algebras with this property.
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