Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nilpotency and the Hamiltonian property for cancellative residuated
  lattices   The present article studies nilpotent and Hamiltonian cancellative residuated
lattices and their relationship with nilpotent and Hamiltonian lattice-ordered
groups. In particular, results about lattice-ordered groups are extended to the
domain of residuated lattices. The two key ingredients that underlie the
considerations of this paper are the categorical equivalence between Ore
residuated lattices and lattice-ordered groups endowed with a suitable modal
operator; and Malcev's description of nilpotent groups of a given nilpotency
class c in terms of a semigroup equation.

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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: econ