Freeness (projectivity) criteria for Hopf algebras over Hopf subalgebras

DOI10.1016/0022-4049(77)90035-4zbMath0367.16004OpenAlexW2078652275MaRDI QIDQ1242198

David E. Radford

Publication date: 1978

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(77)90035-4

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40)

Related Items

Noetherian PI Hopf algebras are Gorenstein, Freeness of Hopf algebras over semisimple group-like subalgebras, Finite-dimensional Hopf algebras are free over grouplike subalgebras, Freeness of hopf algebras over coideal subalgebras, Freeness of infinite dimentional hopf algebras, Affine commutative-by-finite Hopf algebras, Lifting via cocycle deformation., Genaralization fo cleft comodule algabras, Coideal subalgebras in hopf algebras: freeness, integrals, smash products, Hopf module duality applied to X-outer Galois theory., Zerlegbare Untergruppen affiner Gruppen, Structure of \(H\)-semiprime Artinian algebras., Projectivity of Hopf algebras over subalgebras with semilocal central localizations, PBW-bases of coideal subalgebras and a freeness theorem, Relative Hopf modules - equivalences and freeness criteria, On Hopf algebras with cocommutative coradicals, Freeness of infinite dimensional hopf algebras over grouplike subalgebras, Projectivity and freeness over comodule algebras, Some remarks on exact sequences of quantum groups, Principal homogeneous spaces for arbitrary Hopf algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Reflexivity and coalgebras of finite type
• Untergruppen formeller Gruppen von endlichem Index
• Pointed Hopf algebras are free over Hopf subalgebras
• Connected fully reducible affine group schemes in positive characteristic are Abelian
• A correspondence between Hopf ideals and sub-Hopf algebras
• On a semi-direct product decomposition of affine groups over a fields of characteristic 0
• Shorter Notes: A Commutative Noetherian Hopf Algebra Over a Field is Finitely Generated
• The Order of the Antipode of a Finite Dimensional Hopf Algebra is Finite
• A Free Rank 4 Hopf Algebra with Antipode of Order 4