On tolerance lattices of algebras in congruence modular varieties |
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| Authors: | G. Czédli E. K. Horváth S. Radeleczki |
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| Affiliation: | (1) Bolyai Institute, University of Szeged, 6720 Szeged, Aradi Vértanúk tere 1., Hungary;(2) Institute of Mathematics, University of Miskolc, 3515 Miskolc, Egyetemváros, Hungary |
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| 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. This revised version was published online in June 2006 with corrections to the Cover Date. |
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| Keywords: | tolerance relation pseudocomplement 0-modular lattice joint disjointness property congruence modularity distributivity congruence |
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