Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hopf algebras arising from partial (co)actions   In this paper, extending the idea presented by M. Takeuchi in [13], we
introduce the notion of partial matched pair $(H,L)$ involving the concepts of
partial action and partial coaction between two Hopf algebras $H$ and $L$.
Furthermore, we present necessary conditions for the corresponding bismash
product $L\# H$ to generate a new Hopf algebra and, as illustration, a family
of examples is provided.

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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: physics