Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5544
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dc.contributor.authorGuil Asensio, Pedro A.-
dc.contributor.authorPusat, Dilek-
dc.date.accessioned2017-05-17T13:08:45Z-
dc.date.available2017-05-17T13:08:45Z-
dc.date.issued2014-02-
dc.identifier.citationGuil 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.2013.04.002en_US
dc.identifier.issn0021-8693-
dc.identifier.issn1090-266X-
dc.identifier.urihttps://doi.org/10.1016/j.jalgebra.2013.04.002-
dc.identifier.urihttp://hdl.handle.net/11147/5544-
dc.description.abstractLet 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.sponsorshipUniversity of Murciaen_US
dc.language.isoenen_US
dc.publisherAcademic Press Inc.en_US
dc.relation.ispartofJournal of Algebraen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCotorsion moduleen_US
dc.subjectHereditary ringen_US
dc.subjectIndecomposable moduleen_US
dc.subjectSemilocal ringsen_US
dc.titleHereditary rings with countably generated cotorsion envelopeen_US
dc.typeArticleen_US
dc.institutionauthorPusat, Dilek-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume403en_US
dc.identifier.startpage19en_US
dc.identifier.endpage28en_US
dc.identifier.wosWOS:000332349700002en_US
dc.identifier.scopus2-s2.0-84892894153en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1016/j.jalgebra.2013.04.002-
dc.relation.doi10.1016/j.jalgebra.2013.04.002en_US
dc.coverage.doi10.1016/j.jalgebra.2013.04.002en_US
dc.identifier.wosqualityQ2-
dc.identifier.scopusqualityQ2-
item.fulltextWith Fulltext-
item.grantfulltextopen-
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.openairetypeArticle-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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