Volume 7 Number 3 (Jul. 2017)
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IJAPM 2017 Vol.7(3): 173-181 ISSN: 2010-362X
doi: 10.17706/ijapm.2017.7.3.173-181

Right Approximations and Recollements

Xuerong Fu, Hailou Yao
Abstract—The purpose of this paper is to investigate how the relative dimension with respect to right approximations behaves on a recollement (A ,B , C) of abelian categories A , B and C. As an application, the relative dimensions with respect to tilting objects of abelian categories involved in a recollement ( A, B, C) are recovered.

Index Terms—Recollement, right approximation, abelian category.

The authors are with College of Applied Sciences, Beijing University of Technology, Pingle Yuan 100, Beijing, 100124, P. R. China (email: xuerongfu.0098@163.com).

Cite: Xuerong Fu, Hailou Yao, "Right Approximations and Recollements," International Journal of Applied Physics and Mathematics vol. 7, no. 3, pp. 173-181, 2017.

General Information

ISSN: 2010-362X
Frequency: Bimonthly (2011-2014); Quarterly (Since 2015)
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca
Abstracting/ Indexing: Index Copernicus, EI (INSPEC, IET), Chemical Abstracts Services (CAS), Electronic Journals Library, Nanowerk Database, Google Scholar and ProQuest
E-mail: ijapm@iap.org
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