Lattices with complemented tolerance lattice
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 2, pp. 407-412
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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.
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.
Classification :
06B05, 06C05, 06C15
Keywords: tolerance simple and tolerance-trivial lattices; locally order-polynomially complete lattices
Keywords: tolerance simple and tolerance-trivial lattices; locally order-polynomially complete lattices
@article{CMJ_2004_54_2_a12,
author = {Radeleczki, S. and Schweigert, D.},
title = {Lattices with complemented tolerance lattice},
journal = {Czechoslovak Mathematical Journal},
pages = {407--412},
year = {2004},
volume = {54},
number = {2},
mrnumber = {2059261},
zbl = {1080.06006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2004_54_2_a12/}
}
Radeleczki, S.; Schweigert, D. Lattices with complemented tolerance lattice. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 2, pp. 407-412. http://geodesic.mathdoc.fr/item/CMJ_2004_54_2_a12/