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New Characterizations of Restricted Injective Dimensions for Complexes

Author

Listed:
  • Dejun Wu

    (Lanzhou University of Technology)

  • Zhuang Miao

    (Lanzhou University of Technology)

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.

Suggested Citation

  • Dejun Wu & Zhuang Miao, 2020. "New Characterizations of Restricted Injective Dimensions for Complexes," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(4), pages 1603-1614, December.
    • Handle: RePEc:spr:indpam:v:51:y:2020:i:4:d:10.1007_s13226-020-0484-7
    DOI: 10.1007/s13226-020-0484-7
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