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In this paper, we introduce and study a notion of Gorenstein AC-injective dimension for complexes of left modules over associative rings. We show first that the class of complexes with… Click to show full abstract
In this paper, we introduce and study a notion of Gorenstein AC-injective dimension for complexes of left modules over associative rings. We show first that the class of complexes with finite Gorenstein AC-injective dimension is exactly the class of complexes admitting a complete $$\mathcal {AC}$$AC-coresolution. Then the interaction between the corresponding relative and Tate cohomologies of complexes is given. Finally, the relationships between Gorenstein AC-injective dimensions and injective dimensions for complexes are given.
Keywords:
finite gorenstein;
injective dimension;
tate;
gorenstein injective;
complexes finite
Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2019
Link to full text (if available)
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Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2019
Link to full text (if available)
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recommendations!