Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hilbert-Kunz multiplicity of binoids   We prove in a broad combinatorial setting, namely for finitely generated
semipositive cancellative reduced binoids, that the Hilbert-Kunz multiplicity
is a rational number independent of the characteristic.

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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: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph