A correspondence between bi-ideals and sub-Hopf algebras in cocommutative Hopf algebras

DOI10.1016/0021-8693(75)90150-7zbMath0326.16009OpenAlexW1967028923MaRDI QIDQ1225663

Kenneth Newman

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0021-8693(75)90150-7

Mathematics Subject Classification ID

Related Items (19)

A torsion theory in the category of cocommutative Hopf algebras ⋮ Unnamed Item ⋮ On the Structure of Graded Commutative Exponential functors ⋮ Split Hopf algebras, quasi-shuffle algebras, and the cohomology of \(\Omega \Sigma X\) ⋮ A remark on the Galois-type correspondence between ideal coideals and comodule subrings of a Hopf algebroid ⋮ Normal subrings and induced representations ⋮ MOD-2 (co)homology of an abelian group ⋮ On Hopf algebras with cocommutative coradicals ⋮ Tensor products of witt hopf algebras ⋮ A semi-abelian extension of a theorem by Takeuchi ⋮ Semi-direct products of Hopf algebras ⋮ The coalgebra structure of Hopf algebras ⋮ Kitaev's stabilizer code and chain complex theory of bicommutative Hopf algebras ⋮ Quotients of hopf algebras ⋮ On isomorphism theorems of formal groups ⋮ Hopf algebra orders determined by group valuations ⋮ Integrals along bimonoid homomorphisms ⋮ Principal homogeneous spaces for arbitrary Hopf algebras ⋮ Quantum homogeneous spaces of connected Hopf algebras

Cites Work

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• The structure of free irreducible, cocommutative Hopf algebras
• Affine Hopf algebras. II
• A correspondence between Hopf ideals and sub-Hopf algebras
• Hopf Algebras with One Grouplike Element
• Sequences of Divided Powers in Irreducible, Cocommutative Hopf Algebras

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