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Freeness of Hopf algebras over semisimple group-like subalgebras

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Publication:1105665
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DOI10.1016/0021-8693(88)90050-6zbMath0649.16007OpenAlexW2039249748MaRDI QIDQ1105665

M. Bettina Zoeller

Publication date: 1988

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90050-6

zbMATH Keywords

group-like elementsfinite-dimensional Hopf algebrafree modules over group-like subalgebras


Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10)


Related Items

Unnamed Item ⋮ Finite-dimensional Hopf algebras are free over grouplike subalgebras ⋮ Freeness of infinite dimentional hopf algebras



Cites Work

  • Pointed Hopf algebras are free over Hopf subalgebras
  • Freeness (projectivity) criteria for Hopf algebras over Hopf subalgebras
  • The Order of the Antipode of a Finite Dimensional Hopf Algebra is Finite
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