Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A characterization of weak Hopf (co)quasigroups   In this paper we show that weak Hopf (co)quasigroups can be characterized by
a Galois-type condition. Taking into account that this notion generalizes the
ones of Hopf (co)quasigroup and weak Hopf algebra, we obtain as a consequence
the first fundamental theorem for Hopf (co)quasigroups and a characterization
of weak Hopf algebras in terms of bijectivity of a Galois-type morphism (also
called fusion morphism).

28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: stat
10
The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph