Permuting 2-uniform Tolerances on Lattices
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.
Keywords: Lattice tolerance, permuting tolerances, uniform tolerance, 2-uniform congruence, lattice of finite length
1991 Mathematics Subject Classification: 06B10, 06B99