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Results tagged with coalgebras
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user 73577
For questions about coalgebras, comultiplication, cocommutativity, counity, comodules, bicomodules, coactions, corepresentations, cotensor product, subcoalgebras, coideals, coradical, cosemisimplicity, ...
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Why is subcoalgebra structure unique?
Given $F$-coalgebras $\mathcal{A}=(A,\alpha)$ and $\mathcal{B}=(B,\beta)$, a homomorphism $\varphi:\mathcal{A}\to \mathcal{B}$ is a map $\varphi:A\to B$ which make the obvious corresponding square commute …
- 774
1
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Limits in subcategories of Powerset-coalgebras
Since $P_{\omega}$, the finite powerset functor is bounded (by $\omega$), hence the class of all coalgebras of $P_{\omega}$, is complete. … What are other known possible complete subclasses (subcategories) of powerset coalgebras?
Q.2. …
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