Limits of coalgebras, bialgebras and Hopf algebras

DOI10.1090/S0002-9939-2010-10542-7zbMath1223.16009arXiv1003.0318MaRDI QIDQ3085051

Ana-Loredana Agore

Publication date: 28 March 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0318

zbMATH Keywords

categories of coalgebrascategories of bialgebrascategories of Hopf algebras

Mathematics Subject Classification ID

Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Bialgebras (16T10) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Related Items (15)

Generators for comonoids and universal constructions ⋮ On quantum groups associated to non-Noetherian regular algebras of dimension 2 ⋮ The Moore Complex of a Simplicial Cocommutative Hopf Algebra ⋮ Free Poisson Hopf algebras generated by coalgebras ⋮ Inductive limit violates quasi-cocommutativity ⋮ S-protomodularity of the category of cocommutative bialgebras ⋮ Epimorphic quantum subgroups and coalgebra codominions ⋮ Liftable pairs of functors and initial objects ⋮ Extending structures. II: The quantum version. ⋮ Model structures for coalgebras ⋮ A note on split extensions of bialgebras ⋮ Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence ⋮ Eilenberg-Moore and Kleisli type categories for bimonads on arbitrary categories ⋮ Constructing Hopf braces ⋮ The Dold-Kan correspondence and coalgebra structures

Cites Work

• Free Hopf algebras generated by coalgebras
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