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Results tagged with coalgebras
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user 11546
For questions about coalgebras, comultiplication, cocommutativity, counity, comodules, bicomodules, coactions, corepresentations, cotensor product, subcoalgebras, coideals, coradical, cosemisimplicity, ...
9
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2
answers
391
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Monoidal structures on modules over derived coalgebras
So an $n$-fold loop space is definitely an $\mathbb{E}_n$-algebra in $\mathbb{E}_\infty$-coalgebras in $Top$. …
- 10.5k
2
votes
Accepted
Monoidal structures on modules over derived coalgebras
On a fixed fiber this says that if I've got a map of coalgebras $A\to B$ (or a finite list of maps of coalgebras) then I get a left adjoint functor $LCoMod_A(C)\to LCoMod_B(C)$ which takes the coaction …
- 10.5k
20
votes
1
answer
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How is a descent datum the same as a comodule structure?
For a homomorphism of commutative rings $f:R\to S$, there are at least two notions of a descent datum for this map. One of these is to be an $S$-module $M$, with an isomorphism $M\otimes_R S\cong S\ot …
- 10.5k