Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterisation of (Sub)sequential Rational Functions over a General
  Class Monoids   In this technical report we describe a general class of monoids for which
(sub)sequential rational can be characterised in terms of a congruence relation
in the flavour of Myhill-Nerode relation. The class of monoids that we consider
can be described in terms of natural algebraic axioms, contains the free
monoids, groups, the tropical monoid, and is closed under Cartesian.

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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: math
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph