Every small Sl-enriched category is Morita equivalent to an Sl-monoid

Bachuki Mesablishvili

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.

Keywords: Sup-lattices, Morita equivalence, separable category

2000 MSC: 18A25, 18D20

Theory and Applications of Categories, Vol. 13, 2004, No. 11, pp 169-171.

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