| The definition of Ext-strongly Gorenstein injective modules is introduced in this thesis and the class of Ext-strongly Gorenstein injective modules is proved to be injectively resolving. The relative homological theories of Ext-strongly Goren-stein projective modules and Ext-strongly Gorenstein injective modules are studied. Moreover, we consider Ext-strongly Gorenstein projective and Ext-strongly Goren-stein injective dimensions and their characterizations. |
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