| Abstract: | Let G be a hyper finite locally solvable group, A a minimax ZG-module, (F) a locally defined formation consisting of locally solvable groups, A has no nonzero infinite irreducible ZG-factors, and G ∈(F) . The following results are proved: if A has a maximal submodule B such that A/B is central in G and B has no nonzero (F)-central ZG-factors, then A has an (F)-decomposition; if A has an irreducible (F)-central submodule B such that all ZG-composition factors of A/B are (F)-eccentric, then A has an (F)-decomposition. |
