Geodesic
Strongly Generalized Radical Supplemented Modules
Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 1, pp. 63-74.

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We introduce and study strongly generalized radical-supplemented modules (or briefly sgrs-modules). With the notation Rad_g(R) := ∩{K : K ≤ R_R, K is both essential and maximal, we prove that (under some mild conditions on a ring R) every right R-module is a sgrs-module if and only if R/Soc(R) is right perfect and the idempotents lift module Rad_g(R).
Keywords: essential submodules, supplemented modules, strongly radical-supplemented modules, (semi-) perfect rings 
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Das, Soumitra; Buhphang, Ardeline M. Strongly Generalized Radical Supplemented Modules. Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 1, pp. 63-74. http://geodesic.mathdoc.fr/item/DMGAA_2020_40_1_a5/

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