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A new characterization of arithmetical categories and Pixley's theorem

Gran, Marino
arXiv (All) · Papers
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category-theorylogicrings-and-algebras
We characterize the arithmetical categories - the exact Mal'tsev categories whose lattices of congruences are distributive - by a simple condition on some suitable pushouts and a finite limit: a regular category is exact arithmetical if and only if, for every triple of regular epimorphisms with comm
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