Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shift modules, strongly stable ideals, and their dualities   We enrich the setting of strongly stable ideals (SSI): We introduce shift
modules, a module category encompassing SSI's. The recently introduced duality
on SSI's is given an effective conceptual and computational setting. We study
strongly stable ideals in infinite dimensional polynomial rings, where the
duality is most natural. Finally a new type of resolution for SSI's is
introduced. This is the projective resolution in the category of shift modules.

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The categories of this paper are: econ
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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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: q-fin
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex