Geodesic
$E$-solvable modules
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 7, pp. 221-236.

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$E$-nilpotent and $E$-solvable modules have been defined. Some properties of such modules have been proved. For instance, all direct summands of an $E$-nilpotent module are fully invariant, and the $E$-commutant of an $E$-solvable module is contained in the intersection of all maximal commutatorically invariant submodules. Necessary and sufficient conditions under which a finite length module is $E$-solvable have been found. 
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A. R. Chekhlov. $E$-solvable modules. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 7, pp. 221-236. http://geodesic.mathdoc.fr/item/FPM_2010_16_7_a10/

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