Hereditary Rings With Countably Generated Cotorsion Envelope
| dc.contributor.author | Guil Asensio, Pedro A. | |
| dc.contributor.author | Pusat, Dilek | |
| dc.contributor.other | 04.02. Department of Mathematics | |
| dc.contributor.other | 04. Faculty of Science | |
| dc.contributor.other | 01. Izmir Institute of Technology | |
| dc.coverage.doi | 10.1016/j.jalgebra.2013.04.002 | |
| dc.date.accessioned | 2017-05-17T13:08:45Z | |
| dc.date.available | 2017-05-17T13:08:45Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | Let R be a left hereditary ring. We show that if the left cotorsion envelope C(RR) of R is countably generated, then R is a semilocal ring. In particular, we deduce that C(RR) is finitely generated if and only if R is a semiperfect cotorsion ring. Our proof is based on set theoretical counting arguments. We also discuss some possible extensions of this result. | en_US |
| dc.description.sponsorship | University of Murcia | en_US |
| dc.identifier.citation | Guil Asensio, P.A., and Pusat, D. (2014). Hereditary rings with countably generated cotorsion envelope. Journal of Algebra, 403, 19-28. doi:10.1016/j.jalgebra.2013.04.002 | en_US |
| dc.identifier.doi | 10.1016/j.jalgebra.2013.04.002 | |
| dc.identifier.doi | 10.1016/j.jalgebra.2013.04.002 | en_US |
| dc.identifier.issn | 0021-8693 | |
| dc.identifier.issn | 1090-266X | |
| dc.identifier.scopus | 2-s2.0-84892894153 | |
| dc.identifier.uri | https://doi.org/10.1016/j.jalgebra.2013.04.002 | |
| dc.identifier.uri | https://hdl.handle.net/11147/5544 | |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Press Inc. | en_US |
| dc.relation.ispartof | Journal of Algebra | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Cotorsion module | en_US |
| dc.subject | Hereditary ring | en_US |
| dc.subject | Indecomposable module | en_US |
| dc.subject | Semilocal rings | en_US |
| dc.title | Hereditary Rings With Countably Generated Cotorsion Envelope | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Pusat, Dilek | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 28 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 19 | en_US |
| gdc.description.volume | 403 | en_US |
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| gdc.oaire.keywords | Hereditary ring | |
| gdc.oaire.keywords | Cotorsion module | |
| gdc.oaire.keywords | Indecomposable module | |
| gdc.oaire.keywords | Semilocal rings | |
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