Pseudo-commutativity of KZ 2-monads

DOI10.1016/j.aim.2011.06.039zbMath1231.18006OpenAlexW2148034910MaRDI QIDQ645210

Ignacio L. López Franco

Publication date: 8 November 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2011.06.039

zbMATH Keywords

monoidal categorytensor product2-monadenriched category2-categorycolimit\(T\)-algebrafully faithful functorKZ doctrinemultilinear mappseudo-closed categorypseudo-commutative monad

Mathematics Subject Classification ID

Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Enriched categories (over closed or monoidal categories) (18D20) Eilenberg-Moore and Kleisli constructions for monads (18C20)

Related Items

Braided skew monoidal categories, General facts on the Scott adjunction, Differential 2-rigs, Enriched categories as a free cocompletion, Unnamed Item, Skew structures in 2-category theory and homotopy theory

Cites Work

• Two-dimensional monad theory
• Doctrines on 2-categories
• Braided tensor categories
• Monoidal bicategories and Hopf algebroids
• Pseudo-commutative monads and pseudo-closed 2-categories
• Codescent objects and coherence
• Monads for which structures are adjoint to units
• Monads on symmetric monoidal closed categories
• Kan extensions in enriched category theory
• Strong functors and monoidal monads
• A 2-Categories Companion
• Introduction to bicategories
• Adjoint triangles
• Closed categories generated by commutative monads
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