Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generator coalgebras are not necessarily quasi-coFrobenius   We study the problem of whether a coalgebra that generates its category of
left (right) comodules is left (right) quasi-coFrobenius or not. We prove it
does not hold in general, by giving a method of constructing counterexamples.
This gives a negative answer to a question stated in \cite{kn:coalgen}. We also
prove it is true for monomial pointed coalgebras and we characterize the
quivers $Q$ such that $\Bbbk Q$ admits a monomial subcoalgebra that is left
(right) quasi-coFrobenius.

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The categories of this paper are: mtrl-th
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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: econ
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph