Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cotilting modules over commutative noetherian rings   Recently, tilting and cotilting classes over commutative noetherian rings
have been classified in arXiv:1203.0907. We proceed and, for each n-cotilting
class C, construct an n-cotilting module inducing C by an iteration of
injective precovers. A further refinement of the construction yields the unique
minimal n-cotilting module inducing C. Finally, we consider localization: a
cotilting module is called ample, if all of its localizations are cotilting. We
prove that for each 1-cotilting class, there exists an ample cotilting module
inducing it, but give an example of a 2-cotilting class which fails this
property.

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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th