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Permuting 2-uniform tolerances on lattices

Published 24 Sep 2019 in math.RA | (1909.10845v1)

Abstract: A $2$-uniform tolerance on a lattice is a compatible tolerance relation such that all of its blocks are 2-element. We characterize permuting pairs of 2-uniform tolerances on lattices of finite length. In particular, any two 2-uniform congruences on such a lattice permute.

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