Finitely generated, non-artinian monolithic modules
Rings and Algebras
2011-04-08 v1
Abstract
We survey noetherian rings over which the injective hull of every simple module is locally artinian. Then we give a general construction for algebras that do not have this property. In characteristic 0, we also complete the classification of down-up algebras with this property.
Cite
@article{arxiv.1104.1366,
title = {Finitely generated, non-artinian monolithic modules},
author = {Ian M. Musson},
journal= {arXiv preprint arXiv:1104.1366},
year = {2011}
}