Takeuchi's free Hopf algebra construction revisited.

DOI10.1016/j.jpaa.2012.02.016zbMath1252.16031OpenAlexW2102206261MaRDI QIDQ456847

Hans-E. Porst

Publication date: 16 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2012.02.016

zbMATH Keywords

free Hopf algebrasHopf coreflections of bialgebrasHopf envelopes

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Bialgebras (16T10) Hopf algebras and their applications (16T05)

Related Items (2)

Free Poisson Hopf algebras generated by coalgebras ⋮ Hopf Semialgebras

Cites Work

• Limits and colimits of Hopf algebras
• On epimorphisms and monomorphisms of Hopf algebras.
• Adjoint machines, state-behavior machines, and duality
• Fundamental constructions for coalgebras, corings, and comodules.
• Free Hopf algebras generated by coalgebras
• Categorical Constructions for Hopf Algebras
• On Categories of Monoids, Comonoids, and Bimonoids
• Quotients of hopf algebras
• On varieties and covarieties in a category
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