Rad-supplements in injective modules

Engin Buyukasik, Rachid Tribak


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.


Almost injective modules; $Rad$-s-injective modules; Injective modules; $Rad$-supplement submodules

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