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Lattices with Complemented Tolerance Lattice |
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| Authors: | S. Radeleczki D. Schweigert |
| Affiliation: | (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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