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For questions about coalgebras, comultiplication, cocommutativity, counity, comodules, bicomodules, coactions, corepresentations, cotensor product, subcoalgebras, coideals, coradical, cosemisimplicity, ...
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presentability rank of categories of coalgebras
I'm stating both the case of algebras and coalgebras, but I am considerably more interested by the case of coalgebras. …