Demirci, Yilmaz MehmetTurkmen, Burcu NisanciTurkmen, ErgulNişancı Türkmen, Burcu2025-09-252025-09-2520201982-69072316-9028https://doi.org/10.1007/s40863-019-00153-4https://hdl.handle.net/20.500.12573/4580Demirci, Yilmaz Mehmet/0000-0003-3802-4211We 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.eninfo:eu-repo/semantics/closedAccessInjective ModulePoor ModuleWorking-Class ModuleGood RingWV-RingArticle10.1007/s40863-019-00153-42-s2.0-85073920359