Chupordya V. Modules with restrictions on cocentralizers over generalized soluble groups

Modules with restrictions on cocentralizers are studied. Thesis is devoted to obtaining linear analogues of the classical theorem of I. Schur and linear analogues of the theorem of B. Neumann. Let A be a RG-module such that the chief cocentralizer is finite (respectively is artinian), for some types of ring R the conditions by which the derived submodule is finite (respectively is artinian) are obtained. The following linear analogues of the theorem of B. Neumann have been received. It is obtained the conditions by which the derived submodule of bounded finite finitary (respectively bounded artinian finitary) modules is finite (respectively is artinian as R-module), it is also obtained the border for its order (for its invariants).