On FI-extending Rings and Modules

摘要

In this paper,we discuss FI-extending property of rings and modules. The main results are the following:a characterization of yon Neumann regular rings which are two-sided FI-extending is given;sufficient conditions for direct summands of FI-extending modules to be FI-extending are obtained;and at last,a necessary and sufficient condition for nonsingular modules over nonsingular rings to be FI-extending is given.