Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generating sets of Reidemeister moves of oriented singular links and
  quandles   We give a generating set of the generalized Reidemeister moves for oriented
singular links. We use it to introduce an algebraic structure arising from the
study of oriented singular knots. We give some examples, including some
non-isomorphic families of such structures over non-abelian groups. We show
that the set of colorings of a singular knot by this new structure is an
invariant of oriented singular knots and use it to distinguish some singular
links.

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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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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: atom-ph
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The categories of this paper are: q-bio