Demirci, Yilmaz MehmetTurkmen, Burcu NisanciTurkmen, Ergul2021-03-172021-03-1720192316-90281982-6907https://doi.org/10.1007/s40863-019-00153-4https://hdl.handle.net/20.500.12573/592This work is supported by Scientific Research Project FMB-BAP 18-0367 in Amasya University. PublisherWe introduce modules whose injectivity domains are contained in the class of modules with zero radical and call them working-class. This notion gives a generalization of poor modules that have minimal injectivity domain. Semisimple working-class modules always exist for arbitrary rings whereas their predecessors do not. We investigate the rings over which every module is either injective or working-class. Right weakly V-rings are examples of these rings. Moreover, we study the existence of working-class simple modules and show that if there is a projective working-class simple right module, then the ring is a right GV-ring.enginfo:eu-repo/semantics/closedAccessWV-ringGood ringWorking-class modulePoor moduleInjective modulearticleVolume: 141312326