Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Binomial Rings: Axiomatisation, Transfer and Classification   Hall's binomial rings, rings with binomial coefficients, are given an
axiomatisation and proved identical to the numerical rings studied by Ekedahl.
The Binomial Transfer Principle is established, enabling combinatorial proofs
of algebraical identities. The finitely generated binomial rings are completely
classified. An application to modules over binomial rings is given.

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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ