On Hopf monoids in duoidal categories.

DOI10.1016/J.JALGEBRA.2013.07.016zbMath1323.16023arXiv1212.1018OpenAlexW2964106885MaRDI QIDQ2350627

Böhm, Gabriella, Yuan-yuan Chen, Liang-yun Zhang

Publication date: 25 June 2015

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

Full work available at URL: https://arxiv.org/abs/1212.1018

zbMATH Keywords

Galois extensionsantipodesduoidal categoriesHopf monoidsfundamental theorem of Hopf modules

Mathematics Subject Classification ID

Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Bialgebras (16T10) Eilenberg-Moore and Kleisli constructions for monads (18C20) Hopf algebras and their applications (16T05)

Related Items (10)

BiHom Hopf algebras viewed as Hopf monoids ⋮ Hopf categories ⋮ A shuffle algebra point of view on operator-valued probability theory ⋮ Slack Hopf monads ⋮ Cotwists of bicomonads and BiHom-bialgebras ⋮ Hopf comonads on naturally Frobenius map-monoidales ⋮ Intercategories: a framework for three-dimensional category theory ⋮ Weak bimonoids in duoidal categories ⋮ Galois functors and generalised Hopf modules ⋮ Monads on higher monoidal categories

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