Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Frobenius exponent of Cartier subalgebras   Let $R$ be a standard graded finitely generated algebra over an $F$-finite
field of prime characteristic, localized at its maximal homogeneous ideal. In
this note, we prove that that Frobenius complexity of $R$ is finite. Moreover,
we extend this result to Cartier subalgebras of $R$.

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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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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: nucl-ex