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http://dx.doi.org/10.4134/JKMS.j180577

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)
Publication Information
Journal of the Korean Mathematical Society / v.56, no.4, 2019 , pp. 1031-1048 More about this Journal
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
recollement; resolution dimension; balanced pair;
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