ON AP-INJECTIVITY AND AGP-INJECTIVITY

In this article, we study von Neumann regularity of AP-injective rings and AGP-injective rings. By using some properties of GW-ideals and some results of P-injective rings and Y J-injective rings, we obtain some conditions for AP-injective rings and AGP-injective rings to be (strongly) regular rings. These extend some corresponding results in [7,12,14]