On extensions of lax monads
Theory and applications of categories, The Carboni Festschrift, Tome 13 (2004), pp. 41-60
Voir la notice de l'article provenant de la source Theory and Applications of Categories website
In this paper we construct extensions of Set-monads -- and, more generally, of lax Rel-monads -- into lax monads of the bicategory Mat(V) of generalized V-matrices, whenever V is a well-behaved lattice equipped with a tensor product. We add some guiding examples.
Classification :
18D05, 18C20, 18D10
Keywords: relation, lax algebra, lax monad
Keywords: relation, lax algebra, lax monad
@article{TAC_2004_13_a2,
author = {Maria Manuel Clementino and Dirk Hofmann},
title = {On extensions of lax monads},
journal = {Theory and applications of categories},
pages = {41--60},
publisher = {mathdoc},
volume = {13},
year = {2004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2004_13_a2/}
}
Maria Manuel Clementino; Dirk Hofmann. On extensions of lax monads. Theory and applications of categories, The Carboni Festschrift, Tome 13 (2004), pp. 41-60. http://geodesic.mathdoc.fr/item/TAC_2004_13_a2/