Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: What is an ideal a zero-class of?   We characterise, in pointed regular categories, the ideals as the
zero-classes of surjective relations. Moreover, we study a variation of the
"Smith is Huq" condition: two surjective left split relations commute as soon
as their zero-classes commute.

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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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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: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: econ