Some Studies On G-morphic Modules

In this paper,we define G-morphic modules,discuss some properties of this kind of the module and give some characterizations.Then, with the resules we have obtained,we do some further studying on G-morphic modules.We divede this thesis into four chapters.Chapter one is intro-duction,which also can be seen as a generalization of the whole article.Chapter two : Morphic rings,G-morphic rings and Morphic modules.In this chapter we give the definitions of those three algebraic structures,and summarize the theorems,propositions and corollaries about them. Chapter three : G-morphic modules and its characterizations. In this chapter,we define G-morphic module which is our main focus and give some characterizations about G-mophic modules.And we give an example that is a G-morphic module but non-morphic. In the last chapter—Chapter four : Further studying on G-morphic modules, we prove some theorems about factor of direct product of G-morphic moduels and direct summand of left (right) G-morphic rings.