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Two categories are called Morita equivalent if the categories of functors from these categories to the category of sets are equivalent. We prove that congruence lattices of Morita equivalent small categories are isomorphic.
@article{TAC_2012_26_a11, author = {Valdis Laan}, title = {Congruences of {Morita} equivalent small categories}, journal = {Theory and applications of categories}, pages = {331--337}, publisher = {mathdoc}, volume = {26}, year = {2012}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TAC_2012_26_a11/} }
Valdis Laan. Congruences of Morita equivalent small categories. Theory and applications of categories, Tome 26 (2012), pp. 331-337. http://geodesic.mathdoc.fr/item/TAC_2012_26_a11/