List questions from coalgebras

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Isomorphism between $R$-algebra $RG$ and $RG^{\ast}$

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What is $\exp(rX^2)$ in stream calculus?

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Solve $f(x)' + s x f(x) - r f(x) = 0, \quad f(0) =w$ using stream calculus

Published on 13 Aug 2018 - 9:50

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How does coassociativity of a coalgebra $C$ imply that the derivation on $\Omega C$ is a differential?

Published on 25 Mar 2026 - 10:34

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Does the differential of an augmented dga algebra fix the augmentation ideal?

Published on 25 Mar 2026 - 3:02

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How is the differential induced by $d_C$ on $\Omega C$ defined for $(C,d_C)$ is a dga coalgebra?

Published on 11 Sep 2018 - 14:17

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The proof of $S(gh)=S(h)S(g)$ of an antipode in Hopf algebras

Published on 19 Sep 2018 - 4:34

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The quotient of a connected graded bialgebra

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Is the category of finite-dimensional $k[x]$-modules a comodule category?

Published on 22 Oct 2018 - 0:36

141

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Convolution in Bialgebras

Published on 16 Mar 2026 - 23:33

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Reference about the proof of this proposition?

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final coalgebra of the ${_{<κ}}$(A×X) endo-functor in $Set^*$?

Published on 17 Mar 2026 - 15:15

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if $C$ is a filtered coalgebra, does Gr($B\Omega C)\backsimeq B\Omega ($Gr $C)$ hold?

Published on 20 Mar 2026 - 10:12

296

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Why is the Chevalley-Eilenberg differential a coderivation?

Published on 17 Mar 2026 - 14:52

List Question

When is a Hopf Algebra isomorphic to a group ring k[G]?

Isomorphism between $R$-algebra $RG$ and $RG^{\ast}$

What is $\exp(rX^2)$ in stream calculus?

Solve $f(x)' + s x f(x) - r f(x) = 0, \quad f(0) =w$ using stream calculus

How does coassociativity of a coalgebra $C$ imply that the derivation on $\Omega C$ is a differential?

Does the differential of an augmented dga algebra fix the augmentation ideal?

How is the differential induced by $d_C$ on $\Omega C$ defined for $(C,d_C)$ is a dga coalgebra?

The proof of $S(gh)=S(h)S(g)$ of an antipode in Hopf algebras

The quotient of a connected graded bialgebra

Is the category of finite-dimensional $k[x]$-modules a comodule category?

Convolution in Bialgebras

Reference about the proof of this proposition?

final coalgebra of the ${_{<κ}}$(A×X) endo-functor in $Set^*$?

if $C$ is a filtered coalgebra, does Gr($B\Omega C)\backsimeq B\Omega ($Gr $C)$ hold?

Why is the Chevalley-Eilenberg differential a coderivation?

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