Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Artinianness of Formal Local Cohomology   Let $\fa$ be an ideal of a Noetherian local ring $(R,\fm)$ and $M$ a finitely
generated $R$-module. In this paper we introduce some criterions on
Artinianness of formal local cohomology, in particular vanishing and finiteness
of local cohomology modules. We find out the lower and upper bound for
Artinianness of formal local cohomology

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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: q-fin