Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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THE RESOLUTION DIMENSIONS WITH RESPECT TO BALANCED PAIRS IN THE RECOLLEMENT OF ABELIAN CATEGORIES

  • Fu, Xuerong (College of Mathematics and Statistics Heze University) ;
  • Hu, Yonggang (College of Applied Sciences Beijing University of Technology) ;
  • Yao, Hailou (College of Applied Sciences Beijing University of Technology)
  • Received : 2018.08.25
  • Accepted : 2019.01.24
  • Published : 2019.07.01
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Abstract

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.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

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