On the 2-Categories of Weak Distributive Laws

DOI10.1080/00927872.2011.616436zbMath1309.18005arXiv1009.3454OpenAlexW2101438978WikidataQ56687289 ScholiaQ56687289MaRDI QIDQ3225594

Stephen Lack, Böhm, Gabriella, Ross H. Street

Publication date: 22 March 2012

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

Full work available at URL: https://arxiv.org/abs/1009.3454

zbMATH Keywords

monadweak distributive lawEilenberg-Moore objectweak liftingarrow 2-category

Mathematics Subject Classification ID

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

Related Items (3)

Monads and distributive laws for Rota-Baxter and differential algebras ⋮ Factorisations of distributive laws ⋮ Weak bimonoids in duoidal categories

Cites Work

• The weak theory of monads
• Coalgebra bundles
• Combining a monad and a comonad
• The structure of corings: induction functors, Maschke-type theorem, and Frobenius and Galois-type properties
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• The formal theory of monads
• Doi-hopf modules over weak hopf algebras
• The Structure of Weak Coalgebra-Galois Extensions

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