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.
Keywords: category, Morita equivalence, congruence
2000 MSC: 18A32
Theory and Applications of Categories, Vol. 26, 2012, No. 12, pp 331-337.
Published 2012-06-25.
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