Universal constructions for Hopf algebras.

DOI10.1016/j.jpaa.2008.04.007zbMath1168.16022OpenAlexW1978065651MaRDI QIDQ942213

Hans-E. Porst

Publication date: 4 September 2008

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.2008.04.007

zbMATH Keywords

Hopf algebraslimitssymmetric monoidal categoriesadjunctionscolimitsHopf monoidscategories of comonoidscategories of monoidscouniversal Hopf algebra constructionsforgetful functorsuniversal Hopf algebra constructions

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40)

Related Items (9)

Generators for comonoids and universal constructions ⋮ The Moore Complex of a Simplicial Cocommutative Hopf Algebra ⋮ Free Poisson Hopf algebras generated by coalgebras ⋮ Epimorphic quantum subgroups and coalgebra codominions ⋮ Formal plethories ⋮ Categorical Constructions for Hopf Algebras ⋮ On epimorphisms and monomorphisms of Hopf algebras. ⋮ Limits and colimits of Hopf algebras ⋮ Hopf Semialgebras

Cites Work

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• Coalgebras over a commutative ring
• Free Hopf algebras generated by coalgebras
• On Categories of Monoids, Comonoids, and Bimonoids
• On varieties and covarieties in a category

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