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Rad-supplements in injective modules
We introduce and study the notion of Rad-s-injective modules (i.e. modules which are Rad-supplements in their injective hulls). We compare this notion with another generalization of injective modules. We show that the class of Rad-s-injective modules is closed under finite direct sums. We characterize Rad-s-injective modules over several type of rings, including semilocal rings, left hereditary rings and left Harada rings.