Geodesic
Categories enriched over a quantaloid: Algebras
Theory and applications of categories, Tome 30 (2015), pp. 751-774.

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

Given a small quantaloid Q with a set of objects Q_0, it is proved that complete skeletal Q-categories, completely distributive skeletal Q-categories, and Q-powersets of Q-typed sets are all monadic over athe slice category of Set over Q_0.
Publié le :
Classification : 18A40, 18C20, 18D20, 18D35
Keywords: Quantaloid, Q-category, complete Q-category, completely distributive Q-category, Q-powerset, Eilenberg-Moore algebra, monadicity 
@article{TAC_2015_30_a20,
     author = {Qiang Pu and Dexue Zhang},
     title = {Categories enriched over a quantaloid: {Algebras}},
     journal = {Theory and applications of categories},
     pages = {751--774},
     publisher = {mathdoc},
     volume = {30},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2015_30_a20/}
}
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Qiang Pu; Dexue Zhang. Categories enriched over a quantaloid: Algebras. Theory and applications of categories, Tome 30 (2015), pp. 751-774. http://geodesic.mathdoc.fr/item/TAC_2015_30_a20/