S. Radeleczki, Institute of Mathematics, University of Miskolc, 3515 Miskolc-Egyetemvaros, Hungary, e-mail: matradi@gold.uni-miskolc.hu; D. Schweigert, Fachbereich Mathematik, Universitat Kaiserslautern, 67653 Kaiserslautern, Germany, e-mail: schweigert@mathematik.uni-kl.de
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
Classification (MSC 2000): 06B05, 06C05
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