Rafail AlizadeDamla Dede SipahiAlizade, RafailSipahi, Damla Dede2025-10-0620170219-49881793-682910.1142/S02194988175020362-s2.0-85006288806http://dx.doi.org/10.1142/S0219498817502036https://gcris.yasar.edu.tr/handle/123456789/6197https://doi.org/10.1142/S0219498817502036In this paper we give a complete description of the projectively poor abelian groups and prove that there exists a pure projectively poor abelian group. We show that over a commutative Artinian ring every module having a projectively poor factor module by a pure submodule is itself projectively poor. We also give some other properties of pure projectively poor modules.Englishinfo:eu-repo/semantics/closedAccessProjectively poor module (abelian group), generic ring, pure p-generic (i-generic) module, pure-projectively poor module (abelian group)INJECTIVITY, RINGS, POORPure p -Generic (i -Generic) ModuleProjectively Poor Module (Abelian Group)Pure P-Generic (i-Generic) ModulePure-Projectively Poor Module (Abelian Group)Generic RingArticle