Iterated distributive laws

DOI10.1017/S0305004110000599zbMath1255.18004arXiv0710.1120OpenAlexW2963465693WikidataQ117273757 ScholiaQ117273757MaRDI QIDQ3002206

Eugenia Cheng

Publication date: 20 May 2011

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

Full work available at URL: https://arxiv.org/abs/0710.1120

zbMATH Keywords

Yang-Baxter equationsmonaddistributive law\(n\)-categoryglobular set

Mathematics Subject Classification ID

Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15)

Related Items (11)

Modality via iterated enrichment ⋮ Interacting Hopf algebras ⋮ Span composition using fake pullbacks ⋮ Killing epsilons with a dagger: a coalgebraic study of systems with algebraic label structure ⋮ 2-dimensional bifunctor theorems and distributive laws ⋮ Factorisations of distributive laws ⋮ Unnamed Item ⋮ Graphical combinatorics and a distributive law for modular operads ⋮ The algebra of partial equivalence relations ⋮ Product Rules and Distributive Laws ⋮ The calculus of signal flow diagrams. I: Linear relations on streams.

Cites Work

• The algebra of oriented simplexes
• Monoidal globular categories as a natural environment for the theory of weak \(n\)-categories
• Formal category theory: Adjointness for 2-categories
• The formal theory of monads

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