Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohomological dimension of complexes   In the derived category of the category of modules over a commutative
Noetherian ring $R$, we define, for an ideal $\fa$ of $R$, two different types
of cohomological dimensions of a complex $X$ in a certain subcategory of the
derived category, namely $\cd(\fa, X)=\sup\{\cd(\fa,
\H_{\ell}(X))-\ell|\ell\in\Bbb Z\}$ and $-\inf{\mathbf R}\G_{\fa}(X)$, where
$\cd(\fa, M)=\sup\{\ell\in\Bbb Z|\H^{\ell}_{\fa}(M)\neq 0\}$ for an $R$--module
$M$. In this paper, it is shown, among other things, that, for any complex $X$
bounded to the left, $-\inf {\mathbf R}\G_{\fa}(X)\le\cd(\fa, X)$ and equality
holds if indeed $\H(X)$ is finitely generated.

11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: bayes-an