E-SOLVABLE MODULES

摘要

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.