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Categorical constructions for Hopf algebras

Journal Contribution - Journal Article

We prove that there exists a coreflective Hopf algebra on every bialgebra (resp. algebra): that is the embedding functor from the category of Hopf algebras to the category of bialgebras (resp. algebras) has a right adjoint. In this way we give an affirmative answer to a forty years old problem posed by Sweedler. On the route the coeqalizers and the coproducts in the category of Hopf algebras are explicitly described.
Journal: Communications in Algebra
ISSN: 0092-7872
Issue: 39
Pages: 1476-1481
Publication year:2011
Keywords:bialgebra, Hopf algebra, (co)product, (co)limit, (co)complete, (co)refective
  • Scopus Id: 79952964442