Morphic Rings And Its Generalization

In this master's degree thesis ,we discuss morphic rings and G-morahic rings and study some special rings by these rings .There are three chapters in this paper.The first Chapter,the main purpose is to study the properties of morphic rings and G-morahic rings, at the same time we study some elements of morphic rings .The second chapter,we discuss the relation of morphic rings,G-morphic rings,P-injective rings ,GP-injective rings and strongly regular rings.The third chapter,we study morphic rings as trivial extensions R∝M,where R is a ring and M is a (R-R)-bimodule,and we make use of R∝M to construct new rings and give counter examples.