Finitely generated, non-artinian monolithic modules
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Finitely generated, non-artinian monolithic modules

Ian M. Musson
arXiv 2011
22
musson2011finitely

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.

Keywords

math.ra 16d50

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http://arxiv.org/abs/1104.1366v1

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ID: 282254
Ref Key: musson2011finitely
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