Fu, Xuerong;Hu, Yonggang;Yao, Hailou

  • Received : 2018.08.25
  • Accepted : 2019.01.24
  • Published : 2019.07.01


In this paper we study recollements of abelian categories and balanced pairs. The main results are: recollements induce new balanced pairs from the middle category; the resolution dimensions are bounded under certain conditions. As an application, the resolution dimensions with respect to cotilting objects of abelian categories involved in recollements are recovered.


recollement;resolution dimension;balanced pair


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Supported by : National Natural Science Foundation of China