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Results tagged with coalgebras
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user 7762
For questions about coalgebras, comultiplication, cocommutativity, counity, comodules, bicomodules, coactions, corepresentations, cotensor product, subcoalgebras, coideals, coradical, cosemisimplicity, ...
42
votes
Accepted
What is a coalgebra intuitively?
Such coalgebras are naturally cocommutative. …
20
votes
Accepted
How is a descent datum the same as a comodule structure?
I find it easier to use geometric notation, so let $X = \mathrm{Spec}(S)$, $Y=\mathrm{Spec}(R)$, and $\phi: X \to Y$ be the morphism corresponding to $f$. We have adjoint functors
$$
\phi_\ast : S\tex …
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