New Characterizations of Restricted Injective Dimensions for Complexes

Dejun Wu () and Zhuang Miao ()
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Dejun Wu: Lanzhou University of Technology
Zhuang Miao: Lanzhou University of Technology

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 4, 1603-1614

Abstract: 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.

Keywords: Restricted injective dimension; Bass formula; Cohen-Macaulay ring; 13D05; 18G10; 18G35 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0484-7

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