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On tolerance lattices of algebras in congruence modular varieties

Research paper by G. Czédli, E. K. Horváth, S. Radeleczki

Indexed on: 01 Jul '03Published on: 01 Jul '03Published in: Acta Mathematica Hungarica



Abstract

We prove that the tolerance lattice TolA of an algebra A from a congruence modular variety V is 0-1 modular and satisfies the general disjointness property. If V is congruence distributive, then the lattice Tol A is pseudocomplemented. If V admits a majority term, then Tol A is 0-modular.