On the Goldie Dimension of Hereditary Rings and Modules

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dc.creatorDinh, H. Q.
dc.creatorAsensio, P. A. Guil
dc.creatorLopez-Permouth, S. R.
dc.date2005-12-14
dc.date.accessioned2026-07-07T06:55:18Z
dc.date.available2026-07-07T06:55:18Z
dc.descriptionWe find a bound for the Goldie dimension of hereditary modules in terms of the cardinality of the generator sets of its quasi-injective hull. Several consequences are deduced. In particular, it is shown that every right hereditary module with countably generated quasi-injective hull is noetherian. Or that every right hereditary ring with finitely generated injective hull is artinian, thus answering a long standing open question posed by Dung, Gomez Pardo and Wisbauer.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0512337
dc.identifierhttp://arxiv.org/abs/math/0512337
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106235
dc.subjectRings and Algebras
dc.subject16D50; 16D90; 16L30
dc.titleOn the Goldie Dimension of Hereditary Rings and Modules
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