Refail AlizadeEngi̇n İ. BüyükaşikAlizade, RafailBüyükaşık, Engİn2025-10-06201715324125, 009278720092-78721532-412510.1080/00927872.2016.11755852-s2.0-84990927838https://www.scopus.com/inward/record.uri?eid=2-s2.0-84990927838&doi=10.1080%2F00927872.2016.1175585&partnerID=40&md5=faf9063c81c6a70e05b801099712159dhttps://gcris.yasar.edu.tr/handle/123456789/9706https://doi.org/10.1080/00927872.2016.1175585In 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. © 2016 Elsevier B.V. All rights reserved.Englishinfo:eu-repo/semantics/openAccessInjective Module, Pi-poor Abelian Groups, Poor Abelian Groups, Pure-injective Module20E99Poor Abelian Groups13C1113C99Pi-Poor Abelian GroupsPure-Injective Module13C05Injective Module20E34Article