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For questions about coalgebras, comultiplication, cocommutativity, counity, comodules, bicomodules, coactions, corepresentations, cotensor product, subcoalgebras, coideals, coradical, cosemisimplicity, ...
8
votes
Accepted
What is a coalgebra?
But at any rate there’s just no distinction here between the definitions algebras and coalgebras, people who define algebras using a unit property will do so for coalgebras too, and people who define algebras … using a unit structure will do so for coalgebras too. …
4
votes
Accepted
Definition of a cosemisimple Hopf algebra
For the finite dimensional case, cosemisimple is the same as the dual being semisimple. So you can apply your knowledge of semisimple algebras. So the answer to your first question is no, you're all …