doi: 10.17706/ijapm.2017.7.3.173-181
Right Approximations and Recollements
Xuerong Fu
,
- College of Applied Sciences, Beijing University of Technology, Pingle Yuan 100, Beijing, 100124, P. R. China
Abstract
The purpose of this paper is to investigate how the relative dimension with respect to right approximations behaves on a recollement (<em>A</em> ,<em>B</em> , <em>C</em>) of abelian categories <em>A</em> , <em>B</em> and <em>C</em>. As an application, the relative dimensions with respect to tilting objects of abelian categories involved in a recollement ( <em>A</em>, <em>B</em>,<em> C</em>) are recovered.
Keywords
- Recollement
- right approximation
- abelian category
How to Cite
Xuerong Fu and Hailou Yao, "Right Approximations and Recollements," International Journal of Applied Physics and Mathematics, vol. 7, no. 3, pp. 173-181, 2017. https://doi.org/ 10.17706/ijapm.2017.7.3.173-181
Copyright & License
Copyright © 2017 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).