Alagoz, YusufDurgun, Yilmaz2024-12-242024-12-2420201982-69072316-9028https://doi.org/10.1007/s40863-020-00191-3https://hdl.handle.net/20.500.12604/6263The study of pure-projectivity is accessed from an alternative point of view. Given modules M and N, M is said to be N-pure-subprojective if for every pure epimorphism g : B -> N and homomorphism f : M -> N, there exists a homomorphism h : M -> B such that gh = f. For a module M, the pure-subprojectivity domain of M is defined to be the collection of all modules N such that M is N-pure-subprojective. We obtain characterizations for various types of rings and modules, including FP-injective and FP-projective modules, von Neumann regular rings and pure-semisimple rings in terms of pure-subprojectivity domains. As pure-subprojectivity domains clearly include all pure-projective modules, a reasonable opposite to pure-projectivity in this context is obtained by considering modules whose pure-subprojectivity domain consists of only pure-projective. We refer to these modules as psp-poor. Properties of pure-subprojectivity domains and of psp-poor modules are studied.eninfo:eu-repo/semantics/closedAccessPure-projective modulesPure-subprojectivity domainspsp-poor modulesPure-semisimple ringsArticle142631650N/AWOS:000575743700002Q32-s2.0-8509223218810.1007/s40863-020-00191-3