A generalization of purely extending modules relative to a torsion theory

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dc.contributor.authorDoğruöz, Semra
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-26T08:25:36Z
dc.date.available2022-12-26T08:25:36Z
dc.date.issued2021
dc.description.abstractIn this work we introduce a new concept, namely, τ s -extending modules (rings) which is torsion-theoretic analogues of extending modules and then we extend many results from extending modules to this new concept. For instance we show that for any ring R with unit, if R R is purely τ s -extending if and only if every cyclic τ -nonsingular R -module is flat. Also, we make a classification for the direct sums of the rings to be purely τ s -extending.tr_TR
dc.description.indexDiğertr_TR
dc.identifier.endpage1112tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue2tr_TR
dc.identifier.startpage1099tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.898637tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86432
dc.identifier.volume70tr_TR
dc.language.isotrtr_TR
dc.publisherAnkara Universitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.898637tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryDiğertr_TR
dc.subjectPure submodule, closed submodule, (non)singular module, extending module, torsion theorytr_TR
dc.titleA generalization of purely extending modules relative to a torsion theorytr_TR
dc.typeArticletr_TR

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Cilt:70 Sayı:02 (2021)