Abstract
In this paper, we study the restricted injective dimensions of complexes. Some new characterizations of the restricted injective dimensions are obtained. In particular, it is shown that the restricted injective dimensions can be computed in terms of the restricted injective resolutions. As applications, we get some results on the behavior of the restricted injective dimensions under change of rings. In addition, a characterization of almost Cohen-Macaulay ring is obtained.
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Acknowledgement
The research has been supported by National Natural Science Foundation of China (No. 11761047). The authors sincerely thank the referee for very carefully reading the manuscript and many helpful comments and valuable suggestions in shaping the paper into its present form.
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Wu, D., Miao, Z. New Characterizations of Restricted Injective Dimensions for Complexes. Indian J Pure Appl Math 51, 1603–1614 (2020). https://doi.org/10.1007/s13226-020-0484-7
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DOI: https://doi.org/10.1007/s13226-020-0484-7