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We show that every small category enriched over Sl - the symmetric monoidal closed category of sup-lattices and sup-preserving morphisms - is Morita equivalent to an Sl-monoid. As a corollary, we obtain a result of Borceux and Vitale asserting that every separable Sl-category is Morita equivalent to a separable Sl-monoid.
@article{TAC_2004_13_a10, author = {Bachuki Mesablishvili}, title = {Every small {Sl-enriched} category {is Morita} equivalent to an {Sl-monoid}}, journal = {Theory and applications of categories}, pages = {169--171}, publisher = {mathdoc}, volume = {13}, year = {2004}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TAC_2004_13_a10/} }
Bachuki Mesablishvili. Every small Sl-enriched category is Morita equivalent to an Sl-monoid. Theory and applications of categories, The Carboni Festschrift, Tome 13 (2004), pp. 169-171. http://geodesic.mathdoc.fr/item/TAC_2004_13_a10/