Some Studies On G-morphic Groups And Morphic Rings

In this paper, we mainly define G-morphic groups, discuss itssome properties, we prove G-morphic group is a generalization ofmorphic group. We also discuss that some relations of morphic ringsand other rings.We devide this paper into three chapters. In chapter one, we mainlyintroduce the properties of Morphic rings, G-morphic rings and Morphicgroups. In chapter two, we mainly define G-morphic groups, give somecharacterizations and discuss its some properties,we prove G-morphicgroup is a generalization of morphic group.We define uniform G-morphicgroup, and discuss that under certain conditions, The direct productfactor of G-morphic group is also a uniform G-morphic group. Inchapter three, we mainly discuss that the relations of Morphic ring andother rings.