Recollements, tilting homological dimensions and higher-dimensional Auslander-Reiten theory
Recollements, tilting homological dimensions and higher-dimensional Auslander-Reiten theory
投稿时间:2019-01-16  修订日期:2019-05-14
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中文关键词:  
英文关键词:Recollement, the tilting homological dimension, n-almost split sequence.
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作者单位E-mail
Fu Xuerong 菏泽学院 数学与统计学院 xuerongfu.0098@163.com 
Yao Hailou 北京工业大学 应用数理学院  
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中文摘要:
      
英文摘要:
      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 $(\mathscr{A}, \mathscr{B}, \mathscr{C})$.
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