| Recollements, Tilting Homological Dimensions and Higher-Dimensional Auslander-Reiten Theory |
| Received:January 16, 2019 Revised:October 29, 2019 |
| Key Words:
recollement tilting homological dimension $n$-almost split sequence
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11671126). |
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| Abstract: |
| In this paper we mainly investigate the behavior of tilting homological dimensions of the categories involved in the recollement of abelian categories $(\mathscr{A}, \mathscr{B}, \mathscr{C})$. In particular, when abelian category $\mathscr{B}$ is hereditary, we give the connections between $n$-almost split sequences in the categories of $(\mathscr{A}, \mathscr{B}, \mathscr{C})$. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2020.03.003 |
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