Geodesic
Modules which have a rad-supplement that is a direct summand in every extension
Algebra and discrete mathematics, Tome 25 (2018) no. 1, pp. 157-164.

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In this paper, we introduce the concept of modules with the properties (RE) and (SRE), and we provide various properties of these modules. In particular, we prove that a semisimple module M is Rad-supplementing if and only if M has the property (SRE). Moreover, we show that a ring R is a left V-ring if and only if every left R-module with the property (RE) is injective. Finally, we characterize the rings whose modules have the properties (RE) and (SRE).
Mots-clés : Rad-supplement, module with the properties (RE) and (SRE), artinian serial ring. 
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Burcu Nişancı Türkmen; Ergül Türkmen. Modules which have a rad-supplement that is a direct summand in every extension. Algebra and discrete mathematics, Tome 25 (2018) no. 1, pp. 157-164. https://geodesic-test.mathdoc.fr/item/ADM_2018_25_1_a12/

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