Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A cancellativity criterion for presented monoids   We establish a new, fairly general cancellativity criterion for a presented
monoid that properly extends the previously known related criteria. It is based
on a new version of the word transformation called factor reversing, and its
specificity is to avoid any restriction on the number of relations in the
presentation. As an application, we deduce the cancellativity of some natural
extension of Artin's braid monoid in which crossings are colored.

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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat