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Inducing a comodule structure on Hom

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#abstract-algebra #category-theory #coalgebras
376
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algebra vs Dual of a coalgebra

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#abstract-algebra #hopf-algebras #coalgebras
239
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Why doesn't the functor $\bar{\mathcal{P}}\bar{\mathcal{P}}$ preserve pullbacks?

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#category-theory #coalgebras #pullback
106
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The associated graded of a filtered coalgebra

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#coalgebras #filtrations #graded-algebras
257
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Is the algebra dual to a graded coalgebra graded?

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#abstract-algebra #dual-spaces #coalgebras #graded-algebras
270
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What are the primitive elements in a polynomial hopf algebra with primitive indeterminates?

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#abstract-algebra #hopf-algebras #coalgebras
181
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Leibniz rule and Alexander-Whitney coproduct

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#abstract-algebra #tensor-products #algebras #coalgebras
921
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Exercises to help a student become accustomed to Sweedler notation

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#abstract-algebra #notation #tensor-products #hopf-algebras #coalgebras
202
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How obviously injective is this "graded symmetrizer" map $\operatorname{S}(V) \to \operatorname{T}(V)$?

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#abstract-algebra #tensor-products #algebras #coalgebras
77
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coalgebras are right or left vector spaces

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#abstract-algebra #notation #coalgebras
109
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Intersection of coideals

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#hopf-algebras #coalgebras
213
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Are there any known interesting F-(co)algebras where F isn't a set endofunctor?

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#category-theory #coalgebras
142
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What would be an interesting example of a Co-algebra with a base category other than Set?

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#category-theory #coalgebras
67
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Showing every finite dimensional subspace of a comodule lies in a finite dimensional subcomodule

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#commutative-algebra #vector-spaces #coalgebras
639
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When do counital coalgebras have a basis of grouplike elements?

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#hopf-algebras #coalgebras #grouplike-elements

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