Geodesic
Distributive Adjoint Strings
Theory and applications of categories, Tome 1 (1995), pp. 119-145

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

For an adjoint string V -| W -| X -| Y : B --> C, with Y fully faithful, it is frequently, but not always, the case that the composite VY underlies an idempotent monad. When it does, we call the string distributive. We also study shorter and longer `distributive' adjoint strings and how to generate them. These provide a new construction of the simplicial 2-category, Delta.

Classification : 18A40, 18C15.
Keywords: adjoint functor, distributivity, simplicial 2�category. 
@article{TAC_1995_1_a5,
     author = {R. Rosebrugh and R. J. Wood},
     title = {Distributive {Adjoint} {Strings}},
     journal = {Theory and applications of categories},
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     publisher = {mathdoc},
     volume = {1},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_1995_1_a5/}
}
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R. Rosebrugh; R. J. Wood. Distributive Adjoint Strings. Theory and applications of categories, Tome 1 (1995), pp. 119-145. http://geodesic.mathdoc.fr/item/TAC_1995_1_a5/