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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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Mistake in Wikipedia Entry "Coalgebra"

As the statement that a kernel is a coideal isn't treated in the comments let me give the following reference from Sweedler's book "Hopf Algebras": Prop. 1.4.4: The image of a coalgebra morphism is …
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7 votes

How to work with co-multiplication?

When working with coalgebras I often find it helpful to dualize and to consider the corresponding situation for multiplication $\mu: A \otimes A \to A$ with an algebra $A$. …
Ralph's user avatar
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