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The kernel of a morphism of co-rings is a co-ideal

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#abstract-algebra #hopf-algebras #coalgebras #comodules
116
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Is a coalgebra comodule cosemisimple if and only if every subcomodule is a direct summand?

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#coalgebras #comodules
199
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Counterexample to the fundamental theorem of comodules

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#reference-request #examples-counterexamples #coalgebras #comodules
1.1k
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Is the dual of a module naturally a comodule?

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#category-theory #modules #hopf-algebras #coalgebras #comodules
51
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Change of scalars for comodules as adjunctions?

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#linear-algebra #abstract-algebra #hopf-algebras #coalgebras #comodules
172
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Construction of "braided" Hopf algebras

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#hopf-algebras #braidings #comodules
203
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Modules over the dual of an infinite dimensional coalgebra

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#abstract-algebra #modules #algebras #coalgebras #comodules
61
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Isomorphism between two Hopf algebras

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#modules #hopf-algebras #algebras #coalgebras #comodules
118
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Prove $A$ is $K[G]$-comodule algebra

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#abstract-algebra #modules #galois-theory #hopf-algebras #comodules
93
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$H$-comodule structure of $A\otimes_K A$

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#abstract-algebra #modules #dual-spaces #hopf-algebras #comodules
211
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How exactly does the coaction on the comodule X*⊗X work?

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#tensor-products #dual-spaces #hopf-algebras #comodules
67
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Regular functions on torsors

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#representation-theory #algebraic-groups #principal-bundles #hopf-algebras #comodules
50
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Example of a quasi-finite Comodule that is not finitely cogenerated

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#linear-algebra #abstract-algebra #coalgebras #comodules
77
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Subcomodule structure on pure submodule

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#coalgebras #comodules

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