Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Index of Reducibility of Parameter Ideals and Mostly Zero Finite
  Local Cohomology   We prove that if M is a finitely-generated module of dimension d with finite
local cohomologies over a Noetherian local ring, and if the ith local
cohomology module of M is zero unless i = d, i = 0, and i = r for some r
strictly between 0 and d, then there is an integer l such that every parameter
ideal for M contained in the lth power of the maximal ideal has the same index
of reducibility on M. This theorem generalizes work of the second author
(math.AC/0408143) and is closely related to work of S. Goto, H. Sakurai
(math.AC/0306148), and N. Suzuki.

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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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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: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an