Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse semigroups of left I-quotients   We examine, in a general setting, a notion of inverse semigroup of left
quotients, which we call left I-quotients. This concept has appeared, and has
been used, as far back as Clifford's seminal work describing bisimple inverse
monoids in terms of their right unit subsemigroups. As a consequence of our
approach, we find a straightforward way of extending Clifford's work to
bisimple inverse semigroups (a step that has previously proved to be awkward).
We also put some earlier work on Gantos into a wider and clearer context, and
pave the way for further progress.

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The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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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: hep-ex
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The categories of this paper are: physics