Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparison of two notions of weak crossed product   We compare the restriction to the context of weak Hopf algebras of the notion
of crossed product with a Hopf algebroid introduced in \cite{BB} with the
notion of crossed product with a weak Hopf algebra introduced in~\cite{AG}

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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio