A left or right Noetherian Hopf algebra over a field K is affine if and only if its Hopf coradical is affine.
Noetherian Hopf algebras
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A brief survey of some aspects of noetherian Hopf algebras is given, concentrating on structure, homology, and classification, and accompanied by a panoply of open problems.
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A Noetherian Hopf algebra is affine iff its Hopf coradical is affine
A left or right Noetherian Hopf algebra over a field K is affine if and only if its Hopf coradical is affine.