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• W2978049082 abstract "We 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." @default.
• W2978049082 created "2019-10-10" @default.
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• W2978049082 date "2019-09-30" @default.
• W2978049082 modified "2023-09-27" @default.
• W2978049082 title "Rings with modules having a restricted injectivity domain" @default.
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• W2978049082 doi "https://doi.org/10.1007/s40863-019-00153-4" @default.
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