The resolution dimensions with respect to balanced pairs in the recollement of abelian categories
J. Korean Math. Soc.
Published online April 4, 2019
Xuerong Fu, Yonggang Hu, and Hailou Yao
College of Mathematics and Statistics, Heze University, Shandong, College of Applied Sciences, Beijing University of Technology
Abstract : Let (A, B, C ) be a recollement of abelian categories. We study the connections between the
resolution dimensions of the categories involved in (A, B, C ). As an application, the resolution
dimensions with respect to cotilting objects of abelian categories involved in (A, B, C ) are recovered.
Keywords : Recollement, Resolution dimension, Balanced pair
MSC numbers : 16E10, 16G70, 18E10.
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