Absolutely D-pure Modules And D-pure Split Modules

In this paper, we mainly study absolutely D-pure modules and D-pure splitmodules.In Section1, we introduce D-pure modules and study some properties of abso-lutely D-pure modules. We also give some relationships between D-pure injectivemodules and D-pure flat modules. In Section2, we study D-pure split modulesand prove that the class of D-pure split modules is closed under pure submodules.We also investigate some relationships between D-pure split modules and D-flatmodules.