Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hilbert-Kunz theory for binoids   We develop Hilbert-Kunz theory in a combinatorial setting namely for binoids.
We show that the Hilbert-Kunz multiplicity for commutative, finitely generated,
semipositive, cancellative and reduced binoids exists and is a rational number.
This implies that the corresponding Hilbert-Kunz multiplicity for the binoid
algebras does not depend on the characteristic.

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The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
12
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: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: hep-th