FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 7, PAGES 221-236

**$E$-solvable modules**

A. R. Chekhlov

Abstract

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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.

Location: http://mech.math.msu.su/~fpm/eng/k10/k107/k10711h.htm

Last modified: October 21, 2011