Relative Derived Category with respect to a Subcategory
Category Theory
2014-10-15 v1
Abstract
The notion of relative derived category with respect to a subcategory is introduced. A triangle-equivalence, which extends a theorem of Gao and Zhang [Gorenstein derived categories, \emph{J. Algebra} \textbf{323} (2010) 2041-2057] to the bounded below case, is obtained. Moreover, we interpret the relative derived functor as the morphisms in such derived category and give two applications.
Cite
@article{arxiv.1410.3606,
title = {Relative Derived Category with respect to a Subcategory},
author = {Zhenxing Di and Xiaoxiang Zhang and Wei Ren and Jianlong Chen},
journal= {arXiv preprint arXiv:1410.3606},
year = {2014}
}