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Enrichment of categories of algebras and coalgebras

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If you have a question about this talk, please contact Guilherme Lima de Carvalho e Silva .

We will see how the categories of algebras (and more generally monoids in a monoidal category) can be enriched in the category of coalgebras (respectively comonoids) and also how the global category of modules, fibred over the algebras, is enriched over the global category of comodules (opfibred over the coalgebras). All this will be in the context of a more general setting, the one of (hopefully) an enriched fibration.

This talk is part of the Junior Category Theory Seminar series.

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