The resolution dimensions with respect to balanced pairs in the recollement of abelian categories
J. Korean Math. Soc.
Published online 2019 Apr 04
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.
Full-Text :


Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail:   | Powered by, Ltd