Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relative Derived Category with respect to a Subcategory   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 $\mathrm{Ext}_{\mathcal{X}\mathcal {A}}(-,-)$ as the
morphisms in such derived category and give two applications.

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The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
16
The categories of this paper are: stat