Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial Actions of Weak Hopf Algebras on Coalgebras   In this work the notions of partial action of a weak Hopf algebra on a
coalgebra and partial action of a groupoid on a coalgebra will be introduced,
just as some important properties. An equivalence between these notions will be
presented. Finally, a dual relation between the structures of partial action on
a coalgebra and partial action on an algebra will be established, as well as a
globalization theorem for partial module coalgebras will be presented.

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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio