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arXiv · 1201.0479

On the derived dimension of abelian categories

Javad Asadollahi·Rasool Hafezi
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Abstract

We give an upper bound on the dimension of the bounded derived category of an abelian category. We show that if $\CX$ is a sufficiently nice subcategory of an abelian category, then derived dimension of $\CA$ is at most $\CX$-dim$\CA$, provided $\CX$-dim$\CA$ is greater than one. We provide some applications.

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BibTeXRIS

Javad Asadollahi, Rasool Hafezi. 2012-01-02. On the derived dimension of abelian categories. https://doi.org/10.1215/21562261-2693496

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