This short survey article reviews our current state of understanding of the structure of noetherian Hopf algebras. The focus is on homological properties. A number of open problems are listed.
BROWN, KENNETH A. (2007) "Noetherian Hopf Algebras," Turkish Journal of Mathematics: Vol. 31: No. 5, Article 2. Available at: https://journals.tubitak.gov.tr/math/vol31/iss5/2