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M. Gran

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Preprint Sep 2026

A new characterization of arithmetical categories and Pixley's theorem

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 common domain, the pairw...

M. Gran · 0 citations

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