Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The word problem for some classes of Adian inverse semigroups   We show that all of the Sch\"{u}tzenberger complexes of an Adian inverse
semigroup are finite if the Sch\"{u}tzenberger complex of every positive word
is finite. This enables us to solve the word problem for certain classes of
Adian inverse semigroups (and hence for the corresponding Adian semigroups and
Adian groups).

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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: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys