On Strongly - Regular Rings

In our study we examine definition of strongly γ -regular rings and associates, investigate interplay between strongly γ - regular rings and other reduced rings. We also study GP – injective modules, and discuss its relation with strongly γ-regular rings. some important results are secured. Using the connotation of strongly γ-regular rings . researchers concluded: If K be a right semi-duo semi-RG-R satisfying condition (⁕) and K /a K be P –injective for every element a of Then K is a strongly γ -RG-R. For a ring K is a reduced satisfying condition (⁕) and every maximal ideal of K is a right annihilator, then K is strongly γ -RG-R. Let K be a ring satisfying condition (⁕). Then K is strongly γ - RG- K if every right K module is GP-injective. Let K be a reduced ring satisfying condition (⁕). Then the center of K is strongly γ - RG-R if K is a right GP-injective ring.