Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Duality for Koszul Homology over Gorenstein Rings   We study Koszul homology over Gorenstein rings. If an ideal is strongly
Cohen-Macaulay, the Koszul homology algebra satisfies Poincar\'e duality. We
prove a version of this duality which holds for all ideals and allows us to
give two criteria for an ideal to be strongly Cohen-Macaulay. The first can be
compared to a result of Hartshorne and Ogus; the second is a generalization of
a result of Herzog, Simis, and Vasconcelos using sliding depth.

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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci