- Volume 56 Issue 4
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.
recollement;resolution dimension;balanced pair
Supported by : National Natural Science Foundation of China