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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.
@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/