| In this paper,We discussed the stability of Gorenstein X-injetive complexes and the Gorenstein X-injective dimension of complexes.Firstly,it is proved that an iteration of the procedure used to define Gorenstein X-injective complexes yields exactly Gorenstein X-injective complexes.Secondly,the notion of the Gorenstein X-injective dimension of complexes are introduced the in the UX-hereditary ring,and characterized the relation of the Gorenstein-injective dimension with the X-injective dimension of complexes.Lastly,the complete cohomology based on X-injective have been given. |
PDF Full Text Request