Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enumeration of m-Endomorphisms   An m-endomorphism of a free semigroup is an endomorphism that sends every
generator to a word of length at most m. Two m-endomorphisms are
combinatorially equivalent if they are conjugate under an automorphism of the
semigroup. In this paper, we specialize an argument of N. G. de Bruijn to
produce a formula for the number of combinatorial equivalence classes of
m-endomorphisms on a rank-n semigroup. From this formula, we derive several
little-known integer sequences.

23
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: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg