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Lattices with Complemented Tolerance Lattice
Authors:S Radeleczki  D Schweigert
Institution:(1) Institute of Mathematics, University of Miskolc, Miskolc-Egyetemváros, Hungary;(2) Fachbereich Mathematik, Universität Kaiserslautern, 67653 Kaiserslautern, Germany
Abstract:We characterize lattices with a complemented tolerance lattice. As an application of our results we give a characterization of bounded weakly atomic modular lattices with a Boolean tolerance lattice.
Keywords:tolerance simple and tolerance-trivial lattices  locally order-polynomially complete lattices
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