Mathematics – Rings and Algebras
Scientific paper
2011-04-07
Mathematics
Rings and Algebras
Scientific paper
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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