Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monomial ideals with 3-linear resolutions   In this paper, we study Cstelnuovo-Mumford regularity of square-free monomial
ideals generated in degree 3. We define some operations on the clutters
associated to such ideals and prove that the regularity is conserved under
these operations. We apply the operations to introduce some classes of ideals
with linear resolutions and also show that any clutter corresponding to a
triangulation of the sphere does not have linear resolution while any proper
sub-clutter of it has a linear resolution.

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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph