Geodesic
Rad-supplements in injective modules
Algebra and discrete mathematics, Tome 22 (2016) no. 2, pp. 171-183.

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We introduce and study the notion of $\mathrm{Rad}$-s-injective modules (i.e. modules which are $\mathrm{Rad}$-supplements in their injective hulls). We compare this notion with another generalization of injective modules. We show that the class of $\mathrm{Rad}$-s-injective modules is closed under finite direct sums. We characterize $\mathrm{Rad}$-s-injective modules over several type of rings, including semilocal rings, left hereditary rings and left Harada rings.
Keywords: almost injective modules, $\mathrm{Rad}$-supplement submodules.
Mots-clés : $\mathrm{Rad}$-s-injective modules, injective modules 
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Engin Büyükaşik; Rachid Tribak. Rad-supplements in injective modules. Algebra and discrete mathematics, Tome 22 (2016) no. 2, pp. 171-183. http://geodesic.mathdoc.fr/item/ADM_2016_22_2_a1/

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