Rafail AlizadeEngin Buyukasik2025-10-0620170092-78721532-412510.1080/00927872.2016.1175585http://dx.doi.org/10.1080/00927872.2016.1175585https://gcris.yasar.edu.tr/handle/123456789/6496In 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 http://www.w3.org/1999/xlink 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.EnglishInjective module, pi-poor abelian groups, poor abelian groups, pure-injective module, 13C05, 13C11, 13C99, 20E34, 20E99INJECTIVITYArticle