Complete atomistic lattices are classification lattices
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We prove that each complete atomistic lattice G is isomorphic to the lattice of classification systems of an appropriate complete atomistic lattice L. This implies an affirmative solution to a problem raised by S. Radeleczki in 2002.
2010 Mathematics Subject ClassificationPrimary: 06B05 06B15 Secondary: 06C10
Key words and phrasescomplete atomistic lattice classification system classification lattice
© Springer Basel 2012