Morita Equivalence of Sketches |
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Authors: | Jiří Adámek Francis Borceux |
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Institution: | (1) Technical University of Braunschweig, Postfach 3329, 38023 Braunschweig, Germany, e-mail;(2) Département de Mathématique, Université Catholique de Louvain, 2 chemin du Cyclotron, 1348 Louvain-la-Neuve, Belgium, e-mail |
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Abstract: | Equivalence of sketches S and T means the equivalence of their categories ModS and ModT of all Set-valued models. E. Vitale and the second author have characterized equivalence of limit-sketches by means of bimodels, where a bimodel for limit sketches S and T is a model of S in the category ModT. For general sketches, we show that an analogous result holds provided that ModT is substituted by a more complex category; e.g., in case of limit-coproduct sketches, that category is (ModT), the free product completion of ModT. |
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Keywords: | Morita equivalence sketch |
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