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dc.contributor.authorAlizade, Rafail
dc.contributor.authorBüyükaşık, Engin
dc.date.accessioned2017-10-03T10:47:51Z
dc.date.available2017-10-03T10:47:51Z
dc.date.issued2017-01
dc.identifier.citationAlizade, R., and Büyükaşık, E. (2017). Poor and pi-poor Abelian groups. Communications in Algebra, 45(1), 420-427. doi:10.1080/00927872.2016.1175585en_US
dc.identifier.issn0092-7872
dc.identifier.urihttp://doi.org/10.1080/00927872.2016.1175585
dc.identifier.urihttp://hdl.handle.net/11147/6298
dc.description.abstractIn this paper, poor abelian groups are characterized. It is proved that an abelian group is poor if and only if its torsion part contains a direct summand isomorphic to (Formula presented.) , where P is the set of prime integers. We also prove that pi-poor abelian groups exist. Namely, it is proved that the direct sum of U(ℕ), where U ranges over all nonisomorphic uniform abelian groups, is pi-poor. Moreover, for a pi-poor abelian group M, it is shown that M can not be torsion, and each p-primary component of M is unbounded. Finally, we show that there are pi-poor groups which are not poor, and vise versa.en_US
dc.language.isoengen_US
dc.publisherTaylor & Francisen_US
dc.relation.isversionof10.1080/00927872.2016.1175585en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectInjective modulesen_US
dc.subjectPoor abelian groupsen_US
dc.titlePoor and pi-poor Abelian groupsen_US
dc.typearticleen_US
dc.contributor.authorIDTR130906en_US
dc.contributor.iztechauthorBüyükaşık, Engin
dc.relation.journalCommunications in Algebraen_US
dc.contributor.departmentİYTE, Fen Fakültesi, Matematik Bölümüen_US
dc.identifier.volume45en_US
dc.identifier.issue1en_US
dc.identifier.startpage420en_US
dc.identifier.endpage427en_US
dc.identifier.wosWOS:000386155500033
dc.identifier.scopusSCOPUS:2-s2.0-84990927838
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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