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16
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Show that $HK^+$ is a coideal where $K$ is a subHopfalgebra of $H$, $K^+=\mathrm{ker}(\epsilon)\cap K$.

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#abstract-algebra #hopf-algebras #coalgebras
48
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Why are the maps $\eta, \mu, \Delta, \varepsilon$ linear?

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#vector-spaces #linear-transformations #hopf-algebras #quantum-groups #coalgebras
83
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Coalgebra structure on $T(V)=k\oplus V \oplus V\otimes V \oplus V^{\otimes 3}\oplus \cdots $

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#coalgebras #free-product
22
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Coradical filtration and socle series $C_n=\mathrm{Soc}^{n+1}(C)$

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#hopf-algebras #filtrations #coalgebras
26
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Coalgebra presentation in terms of generators and relations?

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#abstract-algebra #hopf-algebras #coalgebras
111
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Coideal Definition

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#category-theory #coalgebras
116
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Coderivations of cofree algebra

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#linear-algebra #coalgebras
128
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Alexander-Whitney map gives a coalgebra?

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#abstract-algebra #algebraic-topology #homology-cohomology #homological-algebra #coalgebras
131
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On the quadratic coalgebras

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#linear-algebra #multilinear-algebra #dual-spaces #coalgebras
121
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Equivalent definitions of Hopf algebras

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#abstract-algebra #hopf-algebras #algebras #coalgebras
64
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Intuition for Coproduct of Grouplike vs Primitive elements in a Coalgebra?

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#hopf-algebras #coalgebras
62
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Haar integral of a finite dimensional Hopf algebra: an explicit expression

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#abstract-algebra #hopf-algebras #quantum-groups #coalgebras
70
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The double dual of a coalgebra

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#abstract-algebra #category-theory #dual-spaces #coalgebras
28
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Non unital Hopf relation

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#hopf-algebras #coalgebras #operads #coproduct
71
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Is this hint for proving the fundamental theorem of coalgebras wrong?

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#abelian-categories #coalgebras

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